Question

PQR is a right angled triangle. The area of the triangle is 6cm² and |QR|= 3cm.
find |PR|​

Answer 1

PQ = 4cm

QR = 3cm

PR = 5cm

Area = 6cm²

Explanation:

Area of triangle = 0.5 × Base × Height

6 = 0.5 × 3 × PQ

• Let PQ be = x

6 = 0.5 × 3 × x

`(6)/(0.5 * 3) = x`

x = 4cm

PQ = 4cm

Since, it is a right angled triangle applying Pythagoras Theorem,

PR =

`\sqrt{ {3}^(2) + {4}^(2) } \\ = √(9 + 6) \\ = 5cm`

PR = 5cm