In a right triangle, the measures of the legs are x and x + 14 and the measure of the hypotenuse is x + 16. Find the measure of x.

Step-by-step explanation:

We can use the Pythagorean Theorem:

The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:

Expand:

Combine like terms:

Subtract the right from the left:

Subtract:

Factor:

Zero Product Property:

Solve:

The x cannot be negative since a side cannot measure -4. So, our only answer is:

So, the legs are 10 and 24 with the hypotenuse being 26.

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation:

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