Question

a square and triangle have equal areas if side of square and height of triangle is 2/3 find the ratio of base and height​

Answer 1

Answer:

9:8

Step-by-step explanation:

Let side of square = x

Given that side of square and height of triangle is 2/3,

x = 2/3h, h = 3/2x

Area of square = x² = Area of triangle = 1/2*(base)*h

                                                              = 1/2*(base)*3/2x

                           x² = 3/4*(base)*x

                           (base) = 4/3x

Given h = 3/2x, ration of base and height = 3/2x:4/3x

                                                                     = 3/2:4/3

                                                                     = 9:8

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