Question

15. The area of an isosceles triangle is 8/15 cm?
If the base is 8 cm, find the length of each of its
equal sides.​

Answer 1

Step-by-step explanation:

If we draw the altitude of an isoceles triangle , then it bisects the base .

So let ABC be an isoceles triangle with base BC = 8 cm, and AB =AC= 5 cm .

Draw altitude AD.

So, BD = CD = 4 cm .

Now, ADB is a right triangle, by pythogoras theoram:

AD = 3 cm .

Thus, area of ABC = 1/2× BC × AD = 1/2× 8×3 = 12cm^2.