Math, asked by dipanshu7550, 3 months ago

find area of triangle with side 24cm,26cmand 10cm​

Answers

Answered by ayushbag03
5

Answer:

The sides of the triangle being 10 cm, 24 cm and 26 cm, we can find the area by

Heron’s formula. Here S, semi perimeter = [10+24+26}/2 = 30, So area of the triangle is A = [s(s-a)(s-b)(s-c)]^0.5 or

= [30(30–10)(30–24)(30–26)]^0.5

= [30*20*6*4]^0.5

= [100*6*6*2*2]^0.5

= 10*6*2 = 120 sq cm.

Alternately, 10=24=26 is a RAT with 26 as the hypotenuse, so the area of the RAT = 24*10/2 = 120 sq


ayushbag03: nyc
Answered by Anonymous
156

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\huge\underline\green{✎﹏Question༉}

✯ Find area of triangle with side 24cm,26cmand 10cm.

\huge\underline\blue{✎﹏Solution༉}

\underline\red{✧Given\:sides\:are;\:24cm\:26cm\:10cm}

➥Semi-perimeter = a + b + c/2

  \:  \:  \:  \:  \:  \:  \:  \:  \ \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \: =   > \frac{24 + 26 + 10}{2}

 \:  \:  \:  \:  \:  \:  \:  \: \:  \:   \:  \:  \:  \:  \:  \:  \:   \:  \: \:  =  >  \frac{60}{2}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: \:  \:  \:  \:  =  >30cm

\underline\red{✧Now,\:Area\: of \:\:triangle\:is;}

area = > \sqrt{s(s - a)(s - b)(s - c) }  \\   =  >   \sqrt{30(30 - 24) (30 - 26) (30 - 10) } \\  =  >  \sqrt{30 \times 6 \times 4 \times 20} \\    =  >  \sqrt{30 \times 480}  \\  =  >  \sqrt{1440 0}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =  >  \sqrt{120 \times 120}  \\  \:  =  > 120

\underline\red{❥So,\:The\:area\:of \:triangle\:is\:120cm}

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\underline\pink{✫Hope,\:it\:Helps \:You࿐}

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Anonymous: Beautifully presented, superb answer ✌
Anonymous: Thanks Siso ❤️
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