Question

In a triangle, the perpendicular from the
vertex to the base bisects the base. The
triangle is:
a. obtuse angled
b. scalene
c. right-angled
d. isosceles​

Answer 1

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.