Question

If the area of a triangle is 1176 sq.cm and base:altitude is3:4,then tha altitude of tha triangle is.....cm

Answer 1

Let the base of triangle = 3x
Height of the triangle = 4x

Now,

Area of triangle = 1176 cm^2

=> 1/2 x b x h = 1176 cm^2

=> 1/2 x 3x x 4x = 1176 cm^2

=> 1/2 x 12x^2 = 1176 cm^2

=> 6x^2 = 1176 cm^2

=> x^2 = 1176/6 cm^2

=> x^2 = 196 cm^2

$= > x = \sqrt{196}$

$= > x = 14 \: cm$

Hence,

Base of triangle = 3x = 42 cm
Height of triangle = 4x = 56 cm


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