Question

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. (5 points)
Group of answer choices
A.8.54 units
B.9.54 units
C.11.00 units
D.24.00 units

Answer 1

Given:

The legs of a right triangle are 3 units and 8 units

To Find:

The length of the hypotenuse

Explanation

In any right triangle, we can find the missing length by applying the Pythagoras theorem. Pythagoras theorem state that a² + b² = c² where "a" and "b" are the legs of the right triangle and "c" is the hypotenuse.

Solution

Find the hypotenuse:

a² + b² = c²

c² = a² + b²

Given that a = 3 and b = 8

c² = 3² + 8²

c² = 9 + 64

c² = 73

c = √73

c = 8.54 (nearest hundredth)

Answer: (A) 8.54 units