Question

Which is the correct formula to find the area of ABC?

A.
area of Δ ABC = × BC × AE
B.
area of Δ ABC = × AB × AE
C.
area of Δ ABC = × BC × AD
D.
area of Δ ABC = × AC × BC

Answer 1

Answer: C.
`\text{area of }\triangle ABC=(1)/(2)* BC* AD`

Explanation:

The common formula is used to find the area of a triangle is

`(1)/(2)*\text{base}*\text{altitude}`

In the given picture , we have a triangle ABC , in which Altitude (making right angle with base) of triangle = AD with corresponding base = BC

Thus , the area of the triangle will be :

`\text{area of }\triangle ABC=(1)/(2)* BC* AD`

Therefore , the correct options is

C.
`\text{area of }\triangle ABC=(1)/(2)* BC* AD`