To find the ratio of the area of the smaller triangle to the larger triangle, we need to find the areas of both triangles.
First, let's find the area of the larger triangle using Heron's formula:
s = (5 + 9 + 5) / 2 = 9.5
area = sqrt(s(s - 5)(s - 9)(s - 5)) = sqrt(9.5(9.5 - 5)(9.5 - 9)(9.5 - 5)) = 20.5
The area of the larger triangle is 20.5.
Now, let's find the area of the smaller triangle using Heron's formula:
s = (12.6 + 10.2 + 12.2) / 2 = 17
area = sqrt(s(s - 12.6)(s - 10.2)(s - 12.2)) = sqrt(17(17 - 12.6)(17 - 10.2)(17 - 12.2)) = 27.4
The area of the smaller triangle is 27.4.
Therefore, the ratio of the area of the smaller triangle to the larger triangle is 27.4/20.5, which simplifies to 1.34.
What is the ratio of the area of the smaller triangle in relation to the area of the larger triangle? The larger triangle has the measures A = 5,9 B = 2,3 C = 5,3 and the smaller triangle has the measures A = 12,6 B = 10,2 C = 12,2
1 answer