Two isosceles triangle one with sides 8" and 5" and the other with sides 6" and 5" which has the larger area?

Question

one will have sides 8, 8 and 5 and the other will have 6, 6 and 5

Answer 1

the 8 and 5

Answer 2

The formula for the area of a triangle is:

0.5 * base * height

As the size of the base is common to both triangles then only the height decides which has the larger area.

Solving Pythagoras' theorem [a^2 = b^ + c^2] for the height of the triangle makes it clear that the 8, 8, 5 triangle has the larger area.

Answer 3

The triangle with sides 8 & 5.

Answer 4

I think it would have to be the first one, but that's only if the 8" is also the length of the other side (since an isosceles has two sides of equal length)