1. Find the value of x.
2. An entertainment center is 52 in. wide and 40 in. high. Will a TV with a 60 in. diagonal fit in it? Explain.
112
3. Mrs. Mack wants Mr. Mack to build a picture frame. She wants the ratio of the length to the width to be 3:1 and the diagonal to be 12 inches. How wide should the frame be? Round to the nearest tenth of a inch.
x2 + (3x)2 = 122
10x2 = 144
x = , 11.4

2. EVERY PROBLEM YOU WORK MUST SHOW THIS FORMULA
Unit 5 – Triangle Properties Special Right Triangles
Special Triangle #1 45– 45–90 s
45°
Hyp = leg•
EVERY PROBLEM YOU WORK MUST SHOW THIS FORMULA

3. Unit 5 – Triangle Properties 5.8 Special Right Triangles
Find the length of the hypotenuse of a 45°-45°-90° triangle with legs of length
Find the length of a leg of a 45°-45°-90° triangle with a hypotenuse of length 22.

4. Unit 5 – Triangle Properties 5.8 Special Right Triangles
You want to add a rock border to a playground. The distance from one corner to the opposite corner of a square playground is 96 ft. Each rock is two feet in length. How many rocks are needed to border the playground ?

5. Hyp = short leg•2 Long leg = short leg •
Unit 5 – Triangle Properties Special Right Triangles
Special Triangle #2:
Hyp = short leg• Long leg = short leg • s 2s
30°
60°
EVERY PROBLEM YOU WORK MUST SHOW BOTH FORMULAS

6. Unit 5 – Triangle Properties 5.8 Special Right Triangles
Find the lengths of the legs of a 30°-60°-90° triangle with hypotenuse of length 4 3.

7. Unit 5 – Triangle Properties 5.8 Special Right Triangles
The longer leg of a 30°-60°-90° triangle has length 18. Find the lengths of the shorter leg and the hypotenuse.

8. Find the value of each variable. 1. 2. 3.
Unit 5 – Triangle Properties Special Right Triangles
Find the value of each variable.
30
60 25 c d
30
60 x y 10
30
60 15 s t
4. A 30/60/90 triangle has a hypotenuse of 12 in. What is the perimeter of the triangle?

9. Unit 5 – Triangle Properties 5.8 Special Right Triangles
An ornamental pin is in the shape of an equilateral triangle. The length of each side is 6 centimeters. Emily will attach the fastener to the back along AB. Will the fastener fit if it is 4 centimeters long?

10. Unit 5 – Triangle Properties 5.8 Special Right Triangles
Find the values of the variables. Give your answers in simplest radical form.

11. Unit 5 – Triangle Properties
Homework:
5.8 Pg 372: 13-16,19,21,29,31,35
14. 5√3, , √3,98√ ,4√ ≈138