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Vadim26 [7]
3 years ago
9

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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