Two triangles and share the same base with and

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Two triangles

\triangle PQR

and

\triangle PQR'

share the same base

PQ

with

P(1,1)

and

Q(5,1)

. Their third vertices are

R(3,7)

and

R'(3,9)

respectively. (i) Compute the area of

\triangle PQR

. (ii) Compute the area of

\triangle PQR'

. (iii) Compare the two areas and express the ratio

\displaystyle \dfrac{\text{area}(\triangle PQR)}{\text{area}(\triangle PQR')}