Question

If the altitudes from two vertices of a triangle to the opposite sides are equal then what type of triangle is it?

Answer 1

Answer:

If the altitudes from two vertices of a triangle to the opposite sides are equal then it is known as an isosceles triangle.

Step-by-step explanation:

Proof:-In ΔABE and ΔACF

           ∠AEB=∠AFC [∵90°]

           ∠BAE=∠CAF [∵Common]

        ⇒∠AEB=∠AFE [By using angle sum property]

                 BE=CF [∵Given]

        ⇒By Angle Side Angle [∵A.S.A] ΔAEB≅ΔAFC

        ⇒AB=AC [∵By CPCT] [CPCT=Corresponding Parts of Corresponding Tiangle]

∴Hence ΔABC is an isoscles triangle beacuse two sides are equal to eachother.

∴Please mark it as brainlist answer