Special Rt Triangles
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Triangles
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100

If the legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

What is 10?

100
What are the special right triangles?
45-45-90 & 30-60-90
100
What is the Pythagorean Theorem?
a^2 + b^2 = c^2
100
If you cut an equilateral triangle in half, what special right triangle do you get?
30-60-90
100

Given 3 examples of pythagorean triples?

Answers may vary:  3, 4, 5 and 5, 12, 13 and 6, 8, 10

200
The short leg of a 45-45-90 triangle is a length of 5. What is the length of the hypotenuse?
5 sq rt 2
200
The short leg of a 30-60-90 triangle is 2. What are the lengths of the other 2 sides?
2 sq rt 3 and 4
200
The length of the hypotenuse of a 45-45-90 triangle is 12. What is the length of the legs?
6 sq rt 2
200
The short leg of a 30-60-90 triangle is a length of 7. What are the lengths of the other sides?
7 sq rt 3 and 14
200
On a right triangle, the side lengths are 30 and 40. What is the length of the hypotenuse?
50
300
If the hypotenuse of a 45-45-90 triangle is 16, what is the length of the legs?
8 sq rt 2
300
The long leg of a 30-60-90 is sq rt 3. What is the length of the short leg?
1
300
The long leg of a 30-60-90 triangle is 3. What is the length of the hypotenuse?
2 sq rt 3
300
The length of the hypotenuse of a 30-60-90 triangle is 10 sq rt 2. What are the lengths of the short leg and the long leg?
5 sq rt 2 and 5 sq rt 6
300
What is the length of the 2nd side length on a right triangle if 1 leg is 8 and the hypotenuse is 20?
What is 16 sq rt 21
400
What is the height of an equilateral triangle with side lengths of 30?
15 sq rt 3
400
What is the side length of an equilateral triangle with a height of 8 sq rt 3?
16
400
What is the total perimeter of an equilateral triangle that has a height of 4 sq rt 3?
24
400

What is the height of a equilateral triangle with a side length of 100?

50 sq rt 3

400
What is the side length of an equilateral triangle with a height of 24 sq rt 3?
48
500

The perimeter of an equilateral triangle is 45 inches.  What is the altitude?

7.5 sqrt 3 or 15 sqrt 3 all over 2.

500

What is the exact length of the third side of a triangle with a hypotenuse of 9 m, and a leg of 8 m. ?  

What is sqrt 17

500

Identify the triangle as acute, obtuse or right if the side lengths are 9 in, 12, in and 20 in.

What is obtuse.

500

Identify the triangle as acute, obtuse or right if the side lengths are 5 in, 12, in and 13 in.

Right

500

Identify the triangle as acute, obtuse or right if the side lengths are 8 in, 5, in and 9 in.

Acute

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