Math, asked by agabi2005pmk, 8 months ago

using heron' s formula 10 24 26​

Answers

Answered by mdcy
1

Step-by-step explanation:

here is your answer mate

hope it helps you

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Answered by AdorableAstronaut
26

 \huge{ \underline{ \underline{ \mathfrak{ \sf{Heron's \: Formula}}}}}

Given : 3 sides of the triangle.

One of the side : 10cm

Second Side : 24cm

Third Side : 26cm

Using heron's formula :   \sqrt{s(s - a)(s - b)(s - c)}

Here, S = The semi perimeter.

The semi perimeter can be found by summing all the 3 sides, and dividing it by 2.

So now, S =  \frac{a + b + c}{2}

 \frac{10 + 24 + 26}{2}

→ S = 30.

Now substituting the value of s in the equation,

 \sqrt{30(30 - 10)(30 - 24)(30 - 26)}

 \sqrt{30 \times 20  \times 6 \times 4}

=  \sqrt{14400}

= 120 cm²

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