Math, asked by purohitpawan42, 5 months ago

(8)
Find the area of a triangle two sides of which are 18 cm and 10 cm and
perimeter is 42 cm​

Answers

Answered by Missmanu2612
4

\Large{\underline{\underline{\tt{\purple{Hello !!}}}}}

First side of triangle = a = 18 cm

Second side of triangle = b = 10 cm

Third side of triangle = c

a+b = 18 + 10 = 28 cm

Perimeter of triangle = a + b + c = 42 cm

Therefore ,

 = a =  \sqrt{21(21 - 18)(21 - 10)(21 - 14)}

c = 42 - 28 = 14 cm

Also ,

s =  \frac{a + b + c}{2}

 \:   \:  \:  \: \:  =  \frac{42}{2}  =  \frac{21}{1} = 21

By heron's formula ,

area \: of \: triangle \:   \\  \\ =  \: a \:  =  \sqrt{s(s - a)(s - b)(s - c)}

 =  \sqrt{21(21 - 18)(21 - 10)(21 - 14)}

a =  \sqrt{21 \times 3 \times 11 \times 7}

a =  \sqrt{21 \times 21 \times 11}

a = 21 \sqrt{11}  \:  \: {cm}^{2}

Brainliest .. !! ❤⚠️

Answered by shamaedu786
1

Answer:

hope it is helpful to you

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please mark the brainliest answer

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