Area and Perimeter Practice Test 1

Question : 22 of 40

Marks: +1, -0

The area of a triangle is 1176

cm^2

and base : corresponding altitude is 3 : 4, then what is the altitude of the triangle?

Solution:

Let base and altitude be 3x and 4x cm respectively; then

1/2

× 3x × 4x = 1176
⇒

6x^2

= 1176
⇒

x^2

= 196
∴ x = 14
Since, altitude = 4 × 14 = 56 cm

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