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Vlad1618 [11]
3 years ago
14

given that BD is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is wh

at type of triangle?

Mathematics
2 answers:
stira [4]3 years ago
7 0

Answer:

Isosceles

Step-by-step explanation:

Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.

In these triangles:

  • AD=DC (because BD is the median);
  • ∠ADB=∠CDB=90° (because BD is the altitude);
  • BD is common side.

Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.

If in triangle ABC, AB=BC, then this triangle is isosceles.

Leno4ka [110]3 years ago
3 0

Answer:

Isosceles (apex)

Step-by-step explanation:

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