Question

ratio of a area of triangles with equal bases is 3:4 . if the height of the bigger triangle is 20 cm then the corresponding height of the smaller triangle is ​

Answer 1

Answer:

26.67 cm

Step-by-step explanation:

let 'x' be hieght of smaller triangle and 'b' be their base.

Area of bigger triangle = (bh)/2 = (20*b)/2 = 10b

Area of smaller triangle = (bh)/2 = (bx)/2

Area of bigger triangle / Area of smaller triangle = 3 / 4    (given)

=> 10b / [(bh)/2] = 3/4 => 10b * 2/bx = 3/4 => 20/x = 3/4

=>20 * 4 = 3x => x = 80 / 3 => x = 26.67cm

hope it was helpful.

Answer 2

Answer:

we have taken small b and h for smaller triangle..and capital B and H for bigger triangle.