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

Triangle ABC is an isosceles triangle.

Step-by-step 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.

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