Question

*Find the area of an isosceles triangle if the length of the median to the base is 15 in and the length of the base is 25 in.

Answer 1

`\text {Area = } (1)/(2) * 15 * 25`


`\text {Area = } 187.5 \ in^2`

Answer 2

If median drawn from vertex A is also the angle bisector, the triangle is isosceles such that AB = AC and BC is the base. Hence this median is also the altitude.

So we can say median is altitude in an isosceles triangle.

Area of a triangle is given by:

`Area =(1)/(2) * base * altitude`

We are given base length 25 in. and altitude as 15 in.

Plugging these values in the formula for area to get the value of area,

`Area =(1)/(2) * 25 * 15`

Answer: Area of triangle is 187.5 square inches.