0. In A PQR, RS is the bisector of ZR. If pq = 6cm, QR = 8cm
RP = 4cm then PS is equal to
a) 2cm b) 4cm c) 3cm d) 6cm
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Answer:
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Answered by
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Step-by-step explanation:
It's quite simple :-
In ∆PQR,
PQ = 6cm
QR = 8cm
RP = 4cm
Let Sides PQ,QR and RP be a,b and c respectively.
Then, S of ∆PQR = a+b+c/2
= 6+8+4/2
= 18/2
= 9cm
Now, Using Heron's formula, we get :-
Area of ∆PQR = √S(S-a)(S-b)(S-c)
= √9(9-6)(9-8)(9-4)
= √9 × 3 × 1 × 5
= √27 × 5
= √135
= √3 × 3 × 15
= 3√15 cm^2
= 11.62 cm^2
Hope it helps :)
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