Question

the sides of two similar triangles are in the ratio 7:8,the areas of these triangles are in the ratio​

Answer 1

Step-by-step explanation:

Since, ratio of area of two similar traingles = ratio of square of corresponding sides

ratio of sides = 5 : 11

∴ ratio of their areas = (5) 2

:(11) 2

=25:121

Answer 2

Given :-

Ratio of sides of similar triangle = 7 : 8

To Find :-

The areas of these triangles are in ratio​.

Solution :-

Given that,

Ratio of sides of similar triangle = 7 : 8

Sides of similar triangle in fraction = 7/8

We know that,

Area = Ratio of the areas when two triangles are similar = Ratio of squares of corresponding sides

According to the question,

$\underline{\boxed{\sf Area =\dfrac{(Side \ of \ triangle \ 1)^{2}}{(Side \ of \ triangle \ 2)^{2}} }}$

Substituting them,

$\sf Area= \bigg(\dfrac{7}{8} \bigg)^{2}$

$\sf Area=\dfrac{49}{64}$

= 49 : 64

Therefore, the area of the triangle in ratio is 49 : 64