Question

Given that line bd is both the median and altitude of triangle abc, congruence postulate sas is used to prove that triangle abc is what type of triangle

Answer 1

isosceles triangle

hope this helps :)

Answer 2

Triangle ABC is an isosceles triangle.

Explanation:

Let AD represent both the median and altitude of triangle ABC.

A median divides the side in two equal parts so BD=BC.

An altitude is a perpendicular drawn .A perpendicular makes an angle of 90°. Hence <ADB=<ADC=90°

AD is the side common to both the triangles ADB and ADC.

Hence Δ ADB≅ΔADC by SAS congruence postulate.

So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)

Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.