Math, asked by aknishad43, 1 year ago

find the Area of a triangle two sides of which are 15cm and 28cm and the perimeter is 84cm ​

Answers

Answered by eleanorcadams1
0

Answer:Let x=the length of the third (non-congruent) side.

x + 3x = 35

4x = 35

x = 35/4. the other sides are (35-35/4)/2 = (105/8)

Step-by-step explanation:

Answered by Bhavyanayak
2

To find the third side, let us take third side = x.

84cm =15cm + 28cm + x

84cm = 43cm + x

84cm - 43cm = x

41 cm = x

_______________________________________________

Area of a triangle when its all the sides are

given is :

 \sqrt{s(s - a)( s - b)(s - c)}

Where, Semiperimeter is calculated by:

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

Using these formulae,

Semiperimeter in this case ;

 \frac{15 + 28 + 41}{2}  \:  = 42cm

Area of the triangle :

 \sqrt{42(42 - 15)(42 \: - \: 28)(42 \: - \: 41)}

 \sqrt{42(27)(14)(1)}

 \sqrt{2 \times 21(27)(7 \times 2) \times 1}

 \sqrt{21}  \times  \sqrt{4} \times  \sqrt{27}  \times  \sqrt{7}

2 \times \sqrt{21}  \times  \sqrt{27}  \times  \sqrt{7}

2 \sqrt{3969} {cm}^{2}


Bhavyanayak: ✓3969 is 63 that means, the final answer is 63 × 2 = 126 square cm
Bhavyanayak: Please do me a favour by marking my answer as a brainliest...If you don't mind
aknishad43: you are the answer writer thanks Bhavyanayak
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