Question

In the adjoining figure, in triangle PQR, PR=8 cm, QR = 4 cm, and PL=5 cm. Find a. area of A PQR b. the length of QM​

Answer 1

Answer:

a. Area of ∆PQR = 10cm^2

b. Length of QM = 2.5 cm

Step-by-step explanation:

Finding area of ∆PQR using QR as base and PL as height.

Base= QR= 4 cm

Height= PL= 5 cm

Area of ∆PQR = 1/2 x base x height

= 1/2 x 4 x 5

=2 x 5

= 10 cm^2

Now, we have to find QM which is height corresponding to base PR.

So, finding area QM as height and PR as base.

PR = 8 cm

QM = ?

Area of ∆PQR =1/2 x base x height

10 cm ^2 = 1/2 x 8 x height

10 = 4 x QM

QM = 10/4 i.e. 5/2 or 2.5

So height i.e. QM is 2.5 cm.