Question

prove that angles opposite to equal side of an isocles triangle are equal​

Answer 1

Answer:

According to the isosceles triangle theorem, the sides opposite to equal angles of a triangle are equal. Using the Pythagorean theorem, side² = ½base² + height² side² = (½ x 10)² + 24²

Step-by-step explanation:

Answer 2

Draw a perpendicular bisector to the base of the isosceles triangle up to the top vertex. The angles opposite to the equal sides can be marked x and y. The perpendicular bisector acts as a common side to the two inner triangles. The hypotenuse of both of the triangles are equal as they are part of the isosceles triangle. So, sin x(Common Side/Equal Side 1) = sin y(Common Side/Equal Side 2). Hence proving, the angle x is equal to y.