Triangle Similarity

If the sides of two triangles have a ratio of $r$ , then the ratio of their areas is $r^2$ .

Here, $r^2 = 36/25$ , so $r = 6/5$ . Then the perimeter of the larger triangle is $125 \cdot 6/5 = 150$ , not 180.

ratio of perimeter of two similar triangles is equal to the ratio of their sides and ratio of square of sides is equal to the ratio of areas.

180 i think

Since the areas of triangles can be computed via 0.5 a b sin(c), it is clear to see that if the ratio of the areas is 36:25, the ratio of the sides would be 6:5. Hence, 125/5 6=150, the answer.

the ratio between the per and area is 0.5 so it is 6:5 so 125*6 divide 5=150

We can consider similar triangles as equilateral triangles of sides a and b (a>b). Given ratio of area of triangles as 36/25 therefore a 2/b 2=36/25 so a/b=6/5 so a=(6/5) b Therefore perimeter 3 a=3 (6/5) b=(6/5) (3 b)=(6/5) 125 (since 3 b=125 is perimeter of small triangle) Therefore perimeter of large triangle is =150

The ratio is 25:36. Therefore the perimeter has the same ratio. Supposing areas of triangles as 25x and 36x, we get perimeter as 180: 25x=125

x=5

So, 36x =perimeter=180