Finding Unknown Side Length

Multiple Choice

What is the exact value of the variable h in the right triangle with side lengths h, 8, and 10?

• 9
• 4
• 7
• 6

Multiple Choice

What is the exact value of the variable k in the right triangle with side lengths 6, k, and 6.5?

• 5.0
• 4.0
• 3.5
• 2.5

Multiple Choice

What is the exact value of the variable m in the right triangle with side lengths 2, m, and 5?

• √15
• 4
• √21
• 3

Multiple Choice

What is the exact value of the variable n in the right triangle with side lengths square root 10, n, and 10?

• 3√10
• √20
• 5√2
• 2√10

Multiple Choice

What is the exact value of the variable p in the right triangle with side lengths p, square root 68, and square root 85?

• √20
• √34
• √17
• √10

Multiple Choice

In each part, $$a$$ and $$b$$ represent the length of a leg of a right triangle, and $$c$$ represents the length of its hypotenuse. Find the unknown length, given the other two lengths. $$a=3, b=1, c={?}$$

• 2
• 4
• sqrt(10)
• 5

Multiple Choice

In each part, $$a$$ and $$b$$ represent the length of a leg of a right triangle, and $$c$$ represents the length of its hypotenuse. Find the unknown length, given the other two lengths. $$a={?}, b=2, c=\sqrt{29}$$

• 4
• 5
• 3
• 6

Multiple Choice

In each part, $$a$$ and $$b$$ represent the length of a leg of a right triangle, and $$c$$ represents the length of its hypotenuse. Find the unknown length, given the other two lengths. $$a=\sqrt5, b=\sqrt7, c={?}$$

• 2*sqrt(3)
• sqrt(10)
• 3*sqrt(2)
• sqrt(12)

Multiple Choice

In each part, $$a$$ and $$b$$ represent the length of a leg of a right triangle, and $$c$$ represents the length of its hypotenuse. Find the unknown length, given the other two lengths. $$a=\sqrt8, b={?}, c=\sqrt{13}$$

• sqrt(12)
• sqrt(10)
• sqrt(8)
• sqrt(5)

Multiple Choice

In each part, $$a$$ and $$b$$ represent the length of a leg of a right triangle, and $$c$$ represents the length of its hypotenuse. Find the unknown length, given the other two lengths. $$a={?}, b=\sqrt{13}, c=4$$

• 2
• sqrt(5)
• 3
• sqrt(3)