Question

Find the area of the right triangle. If necessary, round to the nearest tenth.

Answer 1

Answer:

a.  75 m

Step-by-step explanation:

Given,

Length of hypotenuse = 18m

Length of perpendicular = 10 m

To find:

Area of the right angled triangle

Formula to find area of the right angled triangle = $\frac{perpendicular * base}{2}$

To find: Length of base

Hypotenuse² = Perpendicular² + Base²

Base² = Hypotenuse² - Perpendicular²

Base² = 18² - 10²

Base² = 324 - 100

Base² = 224

Base = $\sqrt{224}$

Base = 14.97 m

Area of the right angled triangle = $\frac{perpendicular * base}{2}$

⇒ $\frac{10 * 14.87}{2}$

⇒ 74.85 m² or,

round to the nearest tenth = 75 m²