Question

Hi!!!
solve this question(explanation is needed)

Answer 1

Hey there !!


▶Given :-

→ PQR is a right angle triangle .

→ Right angle at p .

→ PM $\perp$ QR .


▶ To prove :-

→ PM² = QM • MR .


▶ Solution :-


We know that :

If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then the triangles on both sides of the perpendicular and similar to the whole triangle and also to each other.

$\sf \therefore \triangle PQM \sim \triangle RPM. \\ \\ \sf \implies \frac{PM}{MR} = \frac{QM}{PM} . \\ \\ \boxed{\boxed{ \green{ \sf \implies {PM}^{2} = QM.MR \: .}}}$



✔✔ Hence, it is proved ✅✅.


THANKS


#BeBrainly.