Ratio of areas of two triangles with equal heights is 2:3. If the base of the smaller triangle is 6cm then what is the corresponding base of the bigger triangle ?


Given ratio of two triangles with equal height is 2:3
Let bbe base of smaller triangle and b2 be base of bigger triangle.
b= 6 cm
Let aand a2 be areas of the triangles.
Since triangles have equal height , a1/a= b1/b2
2/3 = 6/b2
b2 = 3×6/2
b2 = 9
Hence base of bigger triangle is 9 cm.

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