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.

8.54 units
9.54 units
11.00 units
24.00 units

Answer 1

TEST ANSWER: q1:C q2:a q3:b q4:c

Explanation:

i got it right on the test 100%

Answer 2

8.54 units

Explanation:

Given,

Perpendicular ( p ) = 8 units

Base ( b ) = 3 units

Hypotenuse ( h ) = ?

Using Pythagoras theorem:

`{h}^(2) = {p}^(2) + {b}^(2)`

plug the values

`{h}^(2) = {8}^(2) + {3}^(2)`

Evaluate the power

`{h}^(2) = 64 + 9`

Calculate the sum

`{h}^(2) = 73`

Squaring on both sides

`h = √(73)`

Calculate

`h = 8.54` units

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