The area of a right-angled triangle is 96 m². If its base is three times its altitude, find the base.
Quadratic Equations
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Question

The area of a right-angled triangle is 96 m2. If its base is three times its altitude, find the base.

KnowledgeBoat · Accepted Answer

Let length of altitude be x meters. Given, Area of right triangle = 96 m2 Base of triangle is 3 times altitude. Length of base = 3x meters By formula, ⇒ Area of triangle = × base × altitude ⇒ 96 = × 3x × x ⇒ 96 × 2 = 3x2 ⇒ 192 = 3x2 ⇒ x2 = ⇒ x2 = 64 ⇒ x = ⇒ x = 8 meters. Length of altitude of triangle = 8 m Length of base of triangle = 3 × 8 = 24 m. Hence, length of base = 24 m.

Mathematics

The area of a right-angled triangle is 96 m². If its base is three times its altitude, find the base.

Quadratic Equations

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