Question

How to solve this
it is based on the concept of similarity

Answer 1

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$\underline{\bf{SO/UTION}} :$
=> Given: that QR = 8 cm and MQ = 3.5 cm
$\underline{ \bf{FIND}} :$
=> first of all we will find MR of ∆ PMR.

=> QR=8 cm and QM = 3.5 cm are given then,

=> QR = QM + MR

=> 8 = 3.5 + MR

=> MR = 8 - 3.5

=> MR = 4.5

=>by using Pythagoras theorem we would get PR.

=> H² = P² + B²

=> (PR)² = (PM)² + (MR)²

=> (PR)² = 4.5 + 4.5

=> (PM)² = 9

=> PM = 3

due to isoceles triangle where two sides are equal so, PM = MR = 4.5