Question

calculate the area of the shaded region in the figure​

Answer 1

Answer:

Step-by-step explanation:

Area of shaded region = area of ∆ABC - area of ∆ADB.

_____________

∆ADB is a right angle triangle.

In ∆ADB,

AD = 12 cm

BD = 16 cm

Ar(∆ADB) = 1/2 × base × height

=> Ar(∆ADB) = 1/2 × AD × BD

=> Ar(∆ADB) = 1/2 × 12 × 16

=> Ar(∆ADB) = 96 cm^2

____________________

you can find AB by using Pythagoras theorem.

The sides of the triangle are 48cm, 52cm and 20cm.

_______________________

Area of shaded region = area of ∆ABC - area of ∆ADB.

=> Area of shaded region = 480 - 96

=> Area of shaded region = 384 cm^2

Answer 2

Answer:

hey ,

i will not solve but i will give a hint or make u understand

PSQ is right angle triangle

so find the area of triangle PSQ by bh/2

now find the area of triangle PQR by herons formula...

but ... PQ is not given

so find the length of PQ by applying PYTHAGORAS THEOREM in triangle PSQ which is 20 cm=PQ

so find the area of triangle PQR.

area of shaded area=area of triangle PQR-area of triangle PSQ

hey, according to me understanding is more important....

thnku...