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

Answer:

8.54 units

Step-by-step 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

$h = \sqrt{73}$

Calculate

$h = 8.54$ units

Hope this helps..

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