Question

Area of a right angle triangle is 165 square metre If the height of the right triangle is 7 cm more than its base then find the height of the triangle

Answer 1

Let the base of the right triangle be x
thus it's height is x+7

Area of Right Triangle = 1/2 × base × height
165 = 1/2 • x • (x + 7)
165 × 2 = x² + 7x
x² + 7x - 330 = 0
(x + 22)(x - 15) = 0
x = -22 OR. x = 15
but the side of Triangle can't be negative
thus x = 15


BASE = x = 15
HEIGHT = x + 7 = 15 + 7 = 22


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Answer 2

Refers to attachment ♡~