[tex]\huge\bold{Question}[/tex]
If each side of an equilateral triangle is tripled then what is the percentage increase in the area of the triangle ?
нlσ
If each side of an equilateral triangle is tripled then what is the percentage increase in the area of the triangle ?
нlσ
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Answer:
800%
Step-by-step explanation:
original triangle
side = a
area = √3/4 a^2 sq units
if each side of an equilateral triangle is tripled
new triangle
side = 3a
area new triangle = √3/4 (3a)^2 sq units
= 9 (√3/4 a^2) sq units
= 9× area of original triangle
increase in area = 9 (√3/4 a^2) - (√3/4 a^2) sq units
= 8 (√3/4 a^2) sq units
increase% = 8(√3/4 a^2) /(√3/4 a^2) sq units × 100%
= 800%
so the percentage increase in the area of the triangle = 800%
this is a various types of...