Question

Delta math please help

Answer 1

`\approx 13.0`

Explanation:

The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula states the following:

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

Where (a) and (b) are the legs or the sides adjacent to the triangle angle of the right triangle. Parameter (c) represents the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown:

`a = 7\\b = 11`

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

`7^2+11^2=c^2`

Simplify,

`7^2+11^2=c^2\\\\49 + 121= c^2\\\\170=c^2`

Inverse operations,

`170=c^2\\\\√(170)=c\\\\\\c \approx 13.0384`