please answer fast
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
In right angle ∆ PQS, PS = 12cm
QS = 16cm
we know PS^2 + QS ^ 2 = PQ^ 2
PQ^2 = 12^2+16^2
= 144+256
= 400
PQ = √400
= 20cm
Area of ∆ PQS = 1/2×(12×16)
=96 sq. cm
Area of ∆PQR = √ [s(s-a)(s-b)(s-c)]
s= 1/2 (a+b+c)
=1/2(52+48+20)
=60cm
Area of ∆PQR= √ [60(60-52)(60-48)(60-20)]
=√(60×8×12×40)
=√ 230400
= 480 sq.cm
Area of shaded portion =area of ∆PQR - area of ∆PQS
= 480 - 96
=384 sq.cm
Here a = PR ,b= QR ,c= PQ
Hope this will helpful.