Question

Find the area of the triangle, round to the nearest tenths if necessary. *Hint: You will need to use Pythagorean Theorem to find the base of the triangle

Answer 1

(c) 42.9 ft²

Explanation:

You want the area of the right triangle with hypotenuse 17.3 ft and long side 16.5 ft.

Pythagorean theorem

The Pythagorean theorem tells you the relationship between the side lengths is ...

c² = a² +b²

The missing side, b, can be found as ...

b² = c² -a²

b = √(c² -a²) = √(17.3² -16.5²) = √27.04 = 5.2

Area

The area of the triangle is ...

A = 1/2bh

A = 1/2(16.5 ft)(5.2 ft) = 42.9 ft²

The area of the triangle is 42.9 square feet.