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

Mathematics

1 answer:

natita [175]3 years ago

8 0

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

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