Question

If P-Q-R, l(PQ)=3√2, l(PR)=5√2 then find l(QR)?

Answer 1

SOLUTION

GIVEN

P-Q-R and l(PQ) = 3√2, l(PR) = 5√2

TO DETERMINE

l(QR)

EVALUATION

Here I is representing d

Here it is given that : P-Q-R

So Q is the point between P and R

Here it is also given that

l(PQ) = 3√2, l(PR) = 5√2

Hence

$\sf{I(QR) = I(PR) -I(PQ) \: \: }$

$\implies \sf{I(QR) = 5 \sqrt{2} -3 \sqrt{2} \: \: }$

$\implies \sf{I(QR) = 2 \sqrt{2} \: \: }$

FINAL ANSWER

$\sf{I(QR) = 2 \sqrt{2} \: \: }$

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