Question

if the side of triangle are 17cm,25cm and 26cm find it area of the triangle
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Answer 1

please like follow it .... . . . 208 is answer

Answer 2

$\large{\red {\bf Given \: side :}}$

• a = 17 cm
• b = 25 cm
• c = 26 cm

$\large{ \blue{ \bf To \: Find :}}$

Area of Triangle

$\large{\bf \pink{Solution :}}$

First we have to find Semi perimeter of Triangle

$s = \frac{a + b + c}{2} \\ \\ s = \frac{17 + 25 + 26}{2} \\ \\ \boxed{\bf s = 34}$

Using Heron's formula :

$\boxed{\bf \green{Area = \sqrt{s(s - a)(s - b)(s - c)}}} \\ \\ \Longrightarrow \sqrt{34(34- 17)(34- 26)(34 - 25} \\ \\ \Longrightarrow \sqrt{34 \times 17 \times 8 \times 9} \\ \\ \Longrightarrow \sqrt{17 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3} \\ \\ \Longrightarrow17 \times 2 \times 2 \times 3 \\ \\ \large\boxed{\bf \red{Area = 204 \: {cm}^{2} }}$