Math, asked by Abhinavbajaj8770, 1 year ago

Find tha area of triangle.Whose area are 5cm 7 cm 9 cm

Answers

Answered by chinmay200433
0

Step-by-step explanation:

area sum of triangle is 180cm

the the ratios were 5x,7x,9x

5x+7x+9x=21x

21x=180

x=180/21

x=8.571

5x=8.571x5=42.857

7x=8.571x7=60

9x=8.571x9=77.142

I think the question is wrong so It will help I hope so

Answered by BrainlyConqueror0901
10

》Right Question:

[Q]Find area of triangle whose sides are 5cm,7cm and 9cm?

Answer:

\huge{\pink{\green{\sf{{\green{\therefore Area =  \frac{21 \sqrt{11} }{4} {cm}^{2}}}}}}}

Step-by-step explanation:

\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \orange{ \underline{given}}} \\ { \green{Side \: of \: triangle \: are \: 5,7\:and\:9}} \\  \\  \:  \:  \:  \:   \:  \:  \: \: { \red{ \underline{to \: find : }}} \\ { \purple{Area \: of \: triangle =? }}

• In question we have information of all sides of triangle.

• So we use herons formula to find area of triangle

• According to given question:

 \to S =  \frac{a + b + c}{2}  \\  \to S =  \frac{5 + 7 + 9}{2}  \\  \to S=  \frac{21}{2}  \\  \\  \to according \: to \: herons \: formula =  \sqrt{S(S - a)(S - b)(S - c)}  \\  \to Area =  \sqrt{ \frac{21}{2}( \frac{21}{2}  - 5)( \frac{21}{2} - 7)( \frac{21}{2}  -  9) }  \\  \to Area =   \sqrt{ \frac{21}{2} ( \frac{21 - 10}{2})( \frac{21 - 14}{2} )( \frac{21 - 18}{2})  }  \\  \to Area =  \sqrt{ \frac{21}{2}( \frac{11}{2})( \frac{7}{2})( \frac{3}{2}    )}  \\  \to  Area =  \sqrt{ \frac{21 \times 11 \times 7  \times 3}{2 \times 2 \times 2 \times 2} }  \\  \to Area =  \sqrt{ \frac{3 \times 7 \times 11 \times 7 \times 3}{2 \times 2 \times 2 \times 2 } }  \\  \to Area =  \frac{7 \times 3 \sqrt{11} }{2 \times 2}   \\  {\green{\therefore Area =  \frac{21 \sqrt{11} }{4} {cm}^{2}}}

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