The base and height of a triangle are in the ratio 3:4 and it's area is 96cmsq . find its base and height.
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the base is of 12 cm and ht is 16 cm
Step-by-Step Explanation:
3:4
3x : 4x
base = 3x
height = 4x
area = 1/2 * base * ht
96 = 1/2 * 3x *4x
96 = 1/2 * 12x^2
96*2 = 12x^2
192 = 12 x^2
x^2 = 196 / 12
x^2 = 16
x = root 16
x= 4
therefore,
base = 3x = 3 *4 = 12 cm
ht = 4x = 4*4 = 16 cm
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