A triangle has an area of 30 cm². The base and height are scaled by a factor of 3. What is the area of the resulting triangle? Enter your answer in the box.

Question

asked Sep 27, 2019 26.3k views

2 Answers

Pieter Hamman · Answer 1 · 2019-10-03T23:51:23+0000

Answer:

The area of the resulting triangle is
$270\ cm^(2)$

Explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the resulting triangle

y-----> the area of the original triangle

so

z^(2)=(x)/(y)

we have

z=3

$y=30\ cm^(2)$

substitute and solve for x

3^(2)=(x)/(30)

$x=9*30=270\ cm^(2)$