Respuesta :

[tex] \text {Area = } \frac{1}{2} \times 15 \times 25[/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.

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