f.3 math question(percentage)
if the base of a triangle is increased by60%,find the percentage in the height of the triangle so that its area remain unchanged
回答 (2)
let B, H be the original base and height of triangle
such that the area = BH/2
new base = 1.6B
new height = h
area: (1.6B)h/2 = BH/2 => h = H/1.6
% change = 100% x (new - original) / original
= 100% x (H/1.6 - H) / H
= -37.5%
(negative value means it decreases)
收錄日期: 2021-04-16 15:11:48
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