Question

triangle pqr is an equilateral triangle pm perpendicular to QR prove that three PQ square is equal to 4 pm square​

Answer 1

Step-by-step explanation:

Given :

PQR is an eq triangle

TP : ar(Δ PQM) = ar(Δ PRM)

Proof : PQ = PR= QR ⇒ 1

angle PMR = angle PMQ = 90 degree (PM ⊥QR )

in Δ PMQ and Δ PMR,

∠PMR = ∠PMQ

PQ = PR ( From 1)

PM=MP (Common side)

Δ PMQ is congruent to Δ PMR (by SAS rule )

since they are congruent , they will have the same area

∴ ar(Δ PMQ) = ar(ΔPMR)

    hence proved