Question

5. Find the area of a triangle if its sides are
(i) 21 cm, 17 cm and 10 cm​

Answer 1

Step-by-step explanation:

Given:-

Find the area of a triangle if its sides are

Find the area of a triangle if its sides are(i) 21 cm, 17 cm and 10 cm

To find its area

Solution:-

$we \: have \\ ab = 10cm \\ bc = 21cm \\ ca = 17cm \\ now \\ s = \frac{21 + 12 + 10}{2} \\ = > \frac{48}{2 } \\ = > 24 \\ then \\ using \: herons \: formula \\ area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{24(24 - 21)(24 - 17)(24 - 10)} \\ = \sqrt{24 \times 3 \times 7 \times 14} \\ = 48 {cm}^{2}$

This is your answer.