Question

Find the value of x round to the nearest tenth

Answer 1

x ≈ 5.7

Explanation:

For this problem, we should use the Pythagorean Theorem. This is an important theorem used to find a missing side of a right triangle.

Theorem:

`a^(2) +b^(2) =c^(2) \\(Short \ Side)^(2) + (Long \ Side)^(2) = (Hypotenuse)^(2)`

We are given 2 values:

• The long leg equals 7.
• The hypotenuse equals 9.

Substitute:

`x^(2) + 7^(2) = 9^(2)`

Subtract:

`9^(2) - 7^(2) =x^(2)`

`32=x^(2)`

Square root to cancel out the exponent:

`√(x^2) = √(32)`

Evaluate:

x ≈ 5.7.