Respuesta :
[tex] \text {Area = } \frac{1}{2} \times 15 \times 25[/tex]
[tex] \text {Area = } 187.5 \ in^2[/tex]
[tex] \text {Area = } 187.5 \ in^2[/tex]
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:
[tex] Area =\frac{1}{2} * base * altitude [/tex]
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,
[tex] Area =\frac{1}{2} * 25 * 15 [/tex]
Answer: Area of triangle is 187.5 square inches.