In a triangle, the perpendicular from the vertex to the base bisects

1.	In a triangle, the perpendicular from the vertex to the base bisects the base. Thetriangle is:a. obtuse angledb. scalenec. right-angledd. isosceles
Answer» ong>D)Isosceles triangle Given: △ABC, AP BISECTS BC and AP⊥BC Now, In △APB and △APC ∠APB=∠APC (Each 90∘) AP=AP (COMMON) PB=PC (AP bisects BC) Thus, △APB≅△APC (SAS Rule) Hence, AB=AC (By cpct) Thus, △ABC is an Isosceles triangle.

In a triangle, the perpendicular from the vertex to the base bisects the base. Thetriangle is:a. obtuse angledb. scalenec. right-angledd. isosceles

Answer»

ong>D)Isosceles triangle

Given: △ABC,

AP BISECTS BC and AP⊥BC

Now, In △APB and △APC

∠APB=∠APC (Each 90∘)

AP=AP (COMMON)

PB=PC (AP bisects BC) Thus, △APB≅△APC (SAS Rule) Hence, AB=AC (By cpct)

Thus, △ABC is an Isosceles triangle.