The lengths of two sides of the isosceles triangle are the ratio of 6: 5. the perimeter of the triangle is 32cm. what is the area of the triangle?

i need this to be answered in about 10 minutes me understand.

Sorry I'm late! xx
Okay, so two of the sides in an isosceles triangle are of the same length. The lengths are either in the ratio 5:5:6 or 5:6:6
The perimeter is 32 cm

If we take the first ratio, 5:5:6, then we have 16 "parts". Let the length of each "part" be referred to as "x"
So, 16x = 32, and so x = 2

So, the ratio of the sides are 10 cm, 10 cm, 12 cm.

To find the height, "h", we need to use Pythagoras' Theorem, with 10 being the hypotenuse and 6 being the horizontal side (think of a line cutting straight down the middle of the isosceles triangle)
h^2 + 36 = 100
h = 8 cm

Area of a triangle is 0.5 x base x height. So, 0.5 x 12 x 8 = 48 cm^2

Hope I helped!! xx

I'm sure the answer is a