Question

The area of triangle PQR is 16 cm². Calculate the area of triangle PQS

Answer 1

Answer:

it will the half of it that is 8 cm square

Step-by-step explanation:

There is no need of explaining as from the diagram it's clear but okk

the base of triangle PQS is half of the base of triangle PQR and so area too becomes half.

Just from we can get.

Hope you would understand

Answer 2

in ΔRQS and in ΔPQS

RS = PS (given)

SQ = SQ (common)

angle (PSR) = angle(RSQ)

hence,

ΔRQS ~ ΔPQS

so, the ar( ΔRQS) = ar( ΔPQS)

hence,

ar(ΔPQR) = ar(ΔRQS) + (ΔPQS)

=> 16cm² = ar(PQS) + ar( ΔPQS)

=> 2 ar(PQS) = 16cm²

=> ar(PQS) = 16cm²/ 2 = 8cm²

hence the area of triangle PQS is "8cm²"