Question

Using Heron's formula, find the area of a APQR in which PQ = PR and base QR = 5 cm and the perimeter is 14 cm.​

Answer 1

Answer:

perimeter = 14cm

semi perimeter= 7cm

QR = 5cm

PQ= PR= x cm

According to the Question,

$= > 2x + 5 = 14$

$= > 2x = 9$

$= > x = 4.5$

Using Heron's formula,

$= > \sqrt{(7) \times (7 - 5) \times (7 - 4.5) \times (7 - 4.5)}$

$= > \sqrt{(7) \times (2) \times {(2.5)}^{2} }$

$= > 2.5 \times \sqrt{14}$

$= > 2.5 \times 3.74$

$= > 9.35 \: {cm}^{2}$

Hope this answer helps you ^_^ !

Answer 2

This is detailed explanation for your question!

hope it helps