Question

In A POR. M = 15. PO = 25
PR = 20, NR - S.State whether line
NM is parallel to side RQ. Give​

Answer 1

Answer:

Solution-

By applying contradiction, we can prove that NM is parallel to RQ.

Let's assume, NM || RQ

Then,

ΔPRQ ≈ ΔPNM, as

∠P is common to both the triangles

∠PNM = ∠PRQ  (as corresponding angle of parallel lines)

∠PMN= ∠PQR   (as corresponding angle of parallel lines)

Applying similar triangle properties,

\Rightarrow \frac{PN}{PR}=\frac{PM}{PQ}

\Rightarrow \frac{PR-NR}{PR}=\frac{PM}{PQ}

\Rightarrow \frac{20-8}{20}=\frac{15}{25}

\Rightarrow \frac{12}{20}=\frac{15}{25}

\Rightarrow \frac{3}{5}=\frac{3}{5}

As the ratios came out to be same, so what we had assumed was correct.

Therefore, NM || RQ.(Proved)

Step-by-step explanation:

Answer 2

Answer:

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