ΔPQR is right-angled at R

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

ΔPQR is right-angled at R. The lengths of the legs are PR =

(x + 4)

cm and QR =

x

cm, where

x > 0

. (a) Show that PQ =

\sqrt{2x^2 + 8x + 16}

cm. (b) Hence, find sin P in simplest form.