**What Is A Unique Triangle** – Chapter 8.3.3 How Many Different Acute Triangles Can You Draw? How many different right scalene triangles can you draw? Remember that triangles can be classified by the length of their sides and the measure of their angles. Sides: Scalene – no side is congruent isosceles – two sides are equilateral – all three sides are congruent angles: Acu – all three angles are acute Right – is a right angle Obtuse – an obtuse angle is congruent

B a b AAS ASA c c The sum of two angles must be less than 180º The sum of two angles must be less than 180º A unique triangle will result.

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## What Is A Unique Triangle

Draw only one way. If you are given • 3 sides (SSS) for example. 5 cm, 3 cm, 7 cm • 2 sides and included angle (SAS) eg. 4 cm, 50°, 6 cm • 2 angles and sides between (ASA) Eg. 40°, 5 cm, 60° •1 angle and 2 sides (***) eg. 40°, 5 cm, 7 cm •A right angle, hypotenuse and other side eg. 90°, 8 cm, 3 cm

#### Visual Diagram With The Different Types Of Triangles And Their Names

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What does this mean? If you take the three sides of a triangle and add the two shortest sides, the sum will be greater than (not equal to) the third side. If this is not true, it is not possible to construct a triangle with the given side length.

Example 1: Determine whether a triangle with sides of length 5 cm, 8 cm and 12 cm can be formed? Are both sides shorter (>) than the longer side? Yes, it is possible to construct a triangle with sides of length 5 cm, 8 cm and 12 cm.

11 Example 2: Determine whether a triangle with sides of length 3 ft, 4 ft and 9 ft can be formed? Are both sides shorter (>) than the longer side? No, it is not possible to construct a triangle with sides of length 3 feet, 4 feet and 9 feet.

12 Try This: Determine whether triangles can be formed with the following side lengths: 1. 4 cm, 7 cm, 10 cm mm, 20 mm, 30 mm 4 + 7 > > 30 Yes Yes 3. 7 ft, 9 ft, 16 ft. inches, 13 inches, 24 inches 7 + 9 = < 24 no no

## Trigonometry Posters Triangle Types Of Triangles And

13 5. Determine if sides of length 5 mm, 14 mm and 19 mm can form a triangle. Get ready to show off your work! A. Yes B. No 6. Determine if sides of length 6 inches, 9 inches, and 14 inches can form a triangle. Get ready to show off your work! Answer: B No A. Yes B. No

7. Determine if sides of length 5 yd, 13 yd and 21 yd can form a triangle. Get ready to show off your work! A. Yes B. No 8. Determine if sides of length 3 feet, 8 feet, and 15 feet can form a triangle. Get ready to show off your work! Answer: B No A. Yes B. No

9. Determine if sides 5 inches, 5 inches, and 9 inches long can form a triangle. Get ready to show off your work! A. Yes B. No Answer: A Yes

16 10. Which of the following angles can a triangle have? 400, 900, 1050 350, 890, 560 750, 900, 150 300, 650, 950 Answer: B

#### Simple And Unique Triangle And Arrow Or Up In 3d Line Image Graphic Icon Logo Design Abstract Concept Vector Stock. Can Be Used As Corporate Symbol Or Related To Sport 16463268 Vector

17 11. Which of the following angles can a triangle have? 370 , 630 , 800 900 , 1040 , 760 230 , 470 , 500 800 , 900 , 100 Answer: A, D

18 Example 1: Estimate the length of the third side of a triangle with sides of length 12 feet. and 16 feet. Side 1 = 12 feet. Side 2 = 16 feet. 3rd side must be less than: > 3rd side 28 feet. > 3rd side must be greater than 3rd side: 12 + 3rd side > 16 3rd side > 4 3rd side must be greater than 4 feet and less than 28 feet.

Example 2: Estimate the length of the third side of a triangle with sides of length 9 cm and 15 cm. Side 1 = 9 cm Side 2 = 15 cm 3rd side must be less than: > 3rd side 24 cm > 3rd side must be greater than 3rd side: 9 + 3rd side > 15 3rd side > 6th side must be greater . More than 6 cm and less than 24 cm.

20 Try This: Estimate the length of the third side of a triangle whose known side lengths are: mm, 20 mm inches, 19 inches > side > side 3 33 > side > side 3 13 + side 3 > side 3 > 19 side 3 > side 3 > 12 7 < Side 3 < < Side 3 < 26

### Green Unique Triangle Tiles Border, Vector Illustration Stock Vector

21 Try This: Estimate the length of the third side of a triangle whose known side lengths are: 3. 4 ft, 11 ft cm, 34 cm > side > side 3 15 > side > side 3 4 + side 3 > side 3 > 34 side 3 > Side 3 > 11 7 < Side 3 < < Side 3 < 57

22 5. Estimate the upper limit of the length of the third side of a triangle whose known sides are 6 m and 12 m long. 3e 6

23 7. Estimate the upper limit of the length of the third side of a triangle whose known sides are 9 inches and 17 inches long. 3e 8 out of 26

24 Estimate the upper limit of the length of the third side of a known triangle 15 feet long. and 43 feet. The sides are 15 feet long. and 43 feet. Answer: 58 ft 3rd > 28

## Angle Relationships Activity Bundle 7th Grade

Name ___________________________________ Determine whether three sides or three angles form a triangle. Answer yes or no. 1. 7 m, 25 m, 24 m ̊, 88 ̊, 120 ̊ 2. 98 ̊, 39 ̊, 43 ̊ ft., 10 ft., 8 ft. 3. 4cm, 12cm, 7cm ̊ ̊, 27 ̊ Answer, ES5 NO̊ ̊ Answer: 58 feet Yes Yes No Yes

Exit Ticket: Name ____________________________________________ Determine whether the three sides or three angles form a triangle. Answer yes or no. 1. 7 m, 25 m, 24 m ̊, 88 ̊, 120 ̊ 2. 98 ̊, 39 ̊, 43 ̊ ft., 10 ft., 8 ft. 3. 4cm, 12cm, 7cm ̊, 27 ̊ ̊, 27 ̊ ̊, Answer ft

In order to operate this website, we record and share user data with processors. To use this website, you must agree to our Privacy Policy, including the Cookie Policy. Hi, and welcome to this review of different types of triangles! Before we begin, here’s a review of the basics.

A triangle has three straight sides connecting it. The length of the sides can vary, but the length of the longest side cannot be equal to or greater than the sum of the other two sides. Also, a triangle has three interior angles and the sum of these three angles is always 180 degrees. This is true for all triangles, including the six types we see today.

### Grade 7 Pre Algabra

Let’s start with the three types of triangles that are classified by the measure of their largest angle. These are acute, right and obtuse triangles.

But how do you know which is which? Look at the largest angle of each triangle and note whether the angle is greater than, less than, or equal to 90 degrees.

We can see that the largest angle in the triangle on the left is 70 degrees. 70 is less than 90, so it is an acute triangle. Just remember that acute angles are less than 90 degrees. It’s easy to remember, because “cute” things are often small, like puppies and kittens.

We can see that the largest angle in the middle triangle is 90 degrees. You may recall that a 90 degree angle is a right angle, so this triangle is a right angle.

## Solved] Hey! Can Someone Help Me With These Trigonometry Questions? If…

Finally, in the right triangle, the largest angle is 117 degrees. Because it is greater than 90 degrees, it is an obtuse angle, so we call this triangle an obtuse triangle.

That’s all for these three kids! We simply find the largest angle and the name of the triangle corresponds to the name of that angle.

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