Math, asked by hrithik0852, 11 months ago

2. A triangle whose sides are 15 cm, 25 cm and 30
em respectively, then find the area of the
triangle .​

Answers

Answered by rajsingh24
6

Answer:

507cm.

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Answered by vikram991
2

\huge{\bf{\underline{\red{Solution :}}}}

Suppose :

  • a = 15 cm
  • b = 25 cm
  • c = 30 cm

Therefore , Semi- perimeter :-

\implies \bold{\sf{s = \frac{a + b + c}{2}}}

\implies \bold{\sf{\frac{15 + 25 + 30}{2} = 35 \ cm}}

Now Using Heron's Formula to Find Area of Triangle :

\implies \bold{\sf{\sqrt{s(s-a)(s-b)(s-c)}}}

\implies \bold{\sf{\sqrt{35(35 - 15) (35 - 25) (35 - 30)}}}

\implies \bold{\sf{\sqrt{35 \times 20 \times \times 10 \times 5}}}

\implies \bold{\sf{2 \times 5 \times 5 \sqrt{2 \times 7}}}

\implies \bold{\sf{50\sqrt{14} cm^{2} }}

Area of Triangle - 50√14 cm²(Answer)

\rule{200}2

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