Question

*If the sides of a triangle are 17 cm,25 cm ,26 cm .What is the area of the triangle?*

1️⃣ 204 sqcm
2️⃣ 240 sqm
3️⃣ 204 cm
4️⃣ 240 cm​

Answer 1

Side of the triangle

a : 17cm

b : 25cm

c : 26cm

With the help of herons formula.

s = 17+25+26/2

=34

$\sf\sqrt{s(s - a)(s - b)(s - c)} \\ \\ = \sf \: \sqrt{34(34-17)(34-25)(34-26)} \\ \\ \sf= \sqrt{34×17×9×8} \\ \\ = \small\sf\sqrt{2 \times 17 \times 17 \times 3 \times 3 \times 2 \times 2 \times 2} \\ \\ \sf= 17 \times 2 \times 2 \times 3 \\ \\ = \pink{ \sf 204 {cm}^{2}}$

Therefore area of the triangle is 204cm².

Option 1.