# The ratio of areas between two similar triangles is 1:4. If one side of the smaller triangle is 2 units, find the measure of the corresponding side of the other triangle.

1
by Cleared

• Brainly User
2016-02-24T14:04:29+08:00
Proof: If two triangles are similar, the ratio of their areas is the square of the ratio of their corresponding sides.

Given:
Side of smaller triangle:  2 units
Corresponding side in the larger triangle:  x
Ratio of areas⇒  1: 4

Equation:

1        (2)²
------ = --------
4        (x)²

1         4
------  =  ------
4        x²

(1) (x²) = (4) (4)

x² = 16

x = 4 units

ANSWER:  The measure of the corresponding side in larger triangle is 4 units.