A square is inscribed in an isosceles right triangle so that the square and the triangle have an angle common. Show that the vertex of the square opposite the vertex of the common angle bisects the hypotenuse

A square is incribed in an isoceles right triangle, so that the square and the triangle have one angle common. Show that the vertex of the sqare opposite the vertex of the common angle bisects the hypotenuse.

A square is incribed in an isoceles right triangle, so that the square and the triangle have one angle common. Show that the vertex of the sqare opposite the vertex of the common angle bisects the hypotenuse.

A square is inscribed in an isosceles right triangle so that the square and the triangled on angle common. Show that the vertex of a square opposite in vertex of the common angle bisects the hypotenuse.

What is the hypotenuse in an isosceles right angled triangle is equal to?

A square is inscribed in a right-angled triangle with legs p and q, and has a common right angle with the triangle. The diagonal of the square is given by

In a right angled triangle, if sum of the squares of the sides making right angle is 169 then what is the length of the hypotenuse?

The vertex angle of an isosceles triangle is 80^(@) , Find ot the measure of base angles .

In the given figure, in a right angle triangle ABC, AB=12cm and AC=15cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm^(2) ) of the square ?

If two isosceles triangles have a common base, prove that the line segment joining their vertices bisects the common base at right angles.