Question

aled of triangle
. Calculate the arenof the shaded portion of the triangle as shown in fig.
PS = 12 cm
PR = 52 cm
QS = 16 cm
QR = 48 cm
PQ - 10​

Answer 1

Step-by-step explanation:

In right angled triangle ABD AB2 = AD2 + BD2 ⇒ AB2 = (12)2 + (16)2 ⇒ AB2 = 144 + 256 ⇒ AB2 = 400 cm2 ⇒ AB = √400 cm2 ⇒ AB = 20 cm Now in ΔABC, a = 48 cm, b = 52 cm, c = 20 cm. Thus, area of shaded portion of the triangle = (480 – 96) cm2 = 384 cm