A right triangle has legs with lengths equal to 10 inches and 9x inches. Its hypotenuse measures (x + 10) inches. What is the approximate value of the hypotenuse? 10 inches 10.25 inches 20.25 inches 81 inches

Step-by-step explanation:

Given,

Perpendicular ( p ) = 9x

Base ( b ) = 10

Hypotenuse ( h ) = x + 10

Now, let's find the value of x

Using Pythagoras theorem:

Plug the values

Using , expand the expression

To raise a product to a power , raise each factor to that power

Evaluate the power

Cancel equal terms on both sides of the equation

Move x² to R.H.S and change its sign

Calculate

Swap both sides of the equation and cancel both on both sides

Divide both sides of the equation by 80

Calculate

Reduce the numbers with 20

The value of X is

Now, let's replace the value of x to find the approximate value of hypotenuse

Hypotenuse =

Write all numerators above the common denominator

Add the numbers

inches

Hope this helps..

best regards!!

10.25

Step-by-step explanation:

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