Question

The legs on a right triangle are 15.25 inches and 14.1 inches.

Find the approximate hypotenuse side length. Round to the nearest hundredth.
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20.79
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Answer 1

We have been given that the legs on a right triangle are 15.25 inches and 14.1 inches. We are asked to find the hypotenuse of the right triangle.

We will use Pythagoras theorem to solve our given problem.

`\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2`

`\text{Hypotenuse}^2=15.25^2+14.1^2`

`\text{Hypotenuse}^2=232.5625+198.81`

`\text{Hypotenuse}^2=431.3725`

Now we will take positive square root on both sides.

`\sqrt{\text{Hypotenuse}^2}=√(431.3725)`

`\text{Hypotenuse}=20.7695089012715946`

Upon rounding to nearest hundredth, we will get:

`\text{Hypotenuse}\approx 20.77`

Therefore, the length of the hypotenuse is approximately 20.77 inches.