A right triangle has one leg that is 13 cm long. The hypotenuse is 27 cm long l. Find the area of the triangle to the nearest tenth .

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01-03-2017
Mathematics

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A right triangle has one leg that is 13 cm long. The hypotenuse is 27 cm long l. Find the area of the triangle to the nearest tenth .

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Livingsta Livingsta · Answer 1 · 2017-03-07T10:59:20+01:00

Livingsta Livingsta

07-03-2017

For a right angle triangle,

Hypotenuse² = base² + height²
Hypotenuse = 27 cm
One leg (x) = 13 cm(could be either base or height)
Let other leg be y

Hypotenuse² = x² + y²

27² = 13² + y²
y² = 27² - 13² = 729 - 169 = 560 = 23.66cm

Area of triangle = 1/2 bh = 1/2 x 13 x 23.66 = 153.79 cm²

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