Math, asked by rajeevakshaya2324, 2 months ago

Pls find the area of the triangle for the sum given above pls don't give the answer simply explain it step by step if you gave the correct answer I will mark youas brainliest . pls dont spam if you spam i will report your answer and you marks will cut off . pls answer this questions.​

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Answered by indrajeetkadam0070
1

Answer:

the formula is

Step-by-step explanation:

A = √(s(s-a)(s-b)(s-c))

A=7,b=12,c=13

First of all, we need to determine the s, which is the semi-perimeter of the triangle:

s = ½ (a + b + c) = ½ (7 +12 + 13) = 16

Now by inserting the value of the semi-perimeter into the Heron’s formula we can determine the area of the triangle:

A = √(s · (s-a) · (s-b) · (s-c))

A = √(16 · (16-7) · (16-12) · (16-13))

A = √(16 · (9) · (4) · (3))

A = √(1726 ) =

A=41.569 m²

Answered by StormEyes
1

\sf \Large Solution!!

The three sides of the triangle are given to us. We can apply Heron's formula to calculate the area of the triangle. But first, we need to find the semi-perimeter. Let's do it!!

side a = 9 cm

side b = 7 cm

side c = 12 cm

Semi-perimeter (s) = \sf \dfrac{a+b+c}{2}

s = \sf \dfrac{9\:cm+7\:cm+12\:cm}{2}

s = \sf \dfrac{28\:cm}{2}

s = 14 cm

We have found the semi-perimeter. Now, we will find out the area.

\sf Area=\sqrt{s(s-a)(s-b)(s-c)}

\sf Area=\sqrt{14(14-9)(14-7)(14-12)}

\sf Area=\sqrt{14\times 5\times 7\times 2}

\sf Area=\sqrt{980}

\sf Area=31.3\:cm^{2}

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