Question

sides of a triangle are of length 28cm, 30cm and 26cm. Area of the Triangle is:
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Answer 1

Answer:

336 sq. cm

Step-by-step explanation:

hope this helps

Answer 2

★With the help of heron's formula,which is★:-

$\sqrt{s(s - a)(s - b)(s - c)}$

Here a, b and c are the three sides of the ∆ .

Here a, b and c are the three sides of the ∆ .And s is semi perimeter ( half of perimeter)

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$s = \frac{a + b + c}{2} \\ \\ s = \frac{84}{2} \\ \\ \boxed{s = 42}$

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★Solution :-

$\sqrt{s(s - a)(s - b)(s - c)} \\ \\ \sqrt{42 (42 - 28)(42 - 30)(42 - 26)} \\ \\ \sqrt{42 \times 14 \times 12 \times 16} \\ \\ = \sqrt{7 \times 3 \times 2 \times 7 \times 2 \times 3 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ \\ = 7 \times 3 \times 2 \times 2 \times 2 \times 2 \\ \\ = 21 \times 16 \\ \\ = \boxed{336 {cm}^{2} }$

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I HOPE IT HELPS.