Question

Ramu says that the area of DPQR is, A =1/2*7*5cm² Gopi says that it is, A =1/2*8*5cm² Who is correct? Why?

Answer 1

Area of the given triangle PQR

= (1/2) × base × height

= (1/2) × PR × QS

= 0.5 × 7× 5

= 35 ×0.5

= 17.5 square cm

This is the correct method to calculating the area of the given triangle.

When calculating the area , the altitude must be measured from
given base to the opposite vertex .

So the first area is correct one .

I hope this answer helps you

Answer 2

Dear student,

Answer: Ramu is correct.

Solution: In Δ PQR

here is a right angle at S, so height will be SQ and base will be PR.

ar(Δ PQR) = 1/2 base x height

ar(Δ PQR)= 1/2 ( SQ)(PR)

ar(Δ PQR)= 1/2 ( 5)( 7)

if a perpendicular is drawn like attached figure and length is given then we can calculate the area as taking QR as base and height as perpendicular's length.

Hope it helps you.