Ratio of areas of similar triangles is 9 : 25.
Solution:
Given data:
Ratio of sides of two similar triangles = 3 : 5
To find the ratio of areas of the triangles:
We know that,
In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.
[tex]$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }[/tex]
[tex]$=\left(\frac{3}{5}\right) ^2[/tex]
[tex]$=\frac{9}{25}[/tex]
Ratio of areas of similar triangles is 9 : 25.
Answer:
16
:
81
Explanation:
Scale factor for the sides of these triangles.
k
=
4
9
.
Therefore the ratio of area will be:
k
2
=
Area Triangle A
Area triangle B
k
2
=
(
4
9
)
2
=
16
81
