Question

If two triangles have equal area and stand on the same base, then the altitudes of the triangle are equal.

• A. True
• B. False

Answer 1

The correct option is A

True

Triangles on the same base (or equal bases) and having equal areas have equal altitudes.

This can be easily proved. Take two triangles: triangle-1 and triangle-2 having same base 'b' and altitudes 'c' and 'd' respectively.

Area of Triangle-1 = $\frac{1}{2}\times b\times c$

Area of Triangle-2 = $\frac{1}{2}\times b\times d$

Since, the triangles have the same area, c = d