Question

QUESTION 16
Use the Pythagorean theorem to find the unknown side of the right triangle.

Answer 1

`5√(7)`

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`a^2+b^2 = c^2`

Where a and b are the sides, and c is the Hypotenuse.

We can now plug in our values.

`a^2 + 8^2 = (√(239))^2`

Simplify it:

`a^2+64 = 239`

Move the 64 to the other side:

`a^2 = 239-64`

Subtract:

`a^2 = 175`

Square root both sides:

`a = √(175)`

Simplify the radical:

`5√(7)`