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Find the area of A traingle whose sides are 6cm, 8cm, 12cm respectively.​

Answer»

ong>Question:

Find the area of triangle whose sides are 6cm, 8cm, 12CM respectively.

Answer:

21.330cm

Step-by-step explanation:

Given the area of triangle

Let a = 6cm

Let B = 8cm

Let c = 12cm

We are GOING to USE Herons Formula

Heron's Formula used in the sum: s=\frac{a+b+c}{2} , \sqrt{s(s-a)(s-b)(s-c)}

Let us apply in the first formula that is s=\frac{a+b+c}{2}

⇒ s=\frac{6+8+12}{2}

⇒ s=\frac{26}{2}

⇒ s=13

HENCE the semi perimeter is 13 cm

Now let us apply in Heron's formula

⇒\sqrt{s(s-a)(s-b)(s-c)}

⇒\sqrt{13(13-6)(13-8)(13-12)}

⇒\sqrt{13(7)(5)(1)}

⇒\sqrt{13(35)}

⇒\sqrt{455}

⇒21.330cm

Hence your answer is 21.330


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