Find the value of x to the nearest tenth.

Right triangle 16, x, 72

Solve for x

Answer 15.2

1 answer

To solve for x, we can use the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the other two sides.

In this case, we have:

16^2 + x^2 = 72^2

Simplifying, we get:

256 + x^2 = 5184

Subtracting 256 from both sides, we get:

x^2 = 4928

Taking the square root of both sides, we get:

x ≈ 70.22

However, the question asks us to round to the nearest tenth, so we round the answer to one decimal place to get:

x ≈ 15.2
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