Question

area and perimeter of scalene triangle​

Answer 1

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Area of scalene triangle:-

First, semi-perimeter = Side+Side+Side/2

Then, √S(S-Side 1)(S-Side 2)(S-Side 3) sq.unit

Perimeter of scalene triangle= Side+Side+Side unit

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Answer 2

Answer:

Perimeter =

• a + b + c

Area =

• √s(s-a)(s-b)(s-c)

Step-by-step explanation:

Considering a scalene triangle of sides a, b and c,

• Its Perimeter will be given by the sum of all its sides, ie, a + b + c.
• To find its area, follow the steps below:

1. Divide the perimeter (a+b+c) by 2 to obtain semi-perimeter (s). So, s = (a+b+c)/2.
2. Once we have the value of s, we can easily obtain the area of this triangle by using Heron's Formula. It says that Area of a triangle with sides a, b and c, and semi-perimeter s is √s(s-a)(s-b)(s-c).

Let's understand with the help of an example.

Let ABC be a scalene triangle with sides a = 5 cm, b = 7 cm, and  c = 10 cm.

Then, its perimeter (p) = a+b+c = 5+7+10 = 22 cm.

Semi-perimeter = p/2 = 22/2 = 11 cm.

So, area using Heron's formula

$= \sqrt{s(s-a)(s-b)(s-c)}\\\\= \sqrt{11(11-5)(11-7)(11-10)}\\\\= \sqrt{11 \times 6 \times 4 \times 1}\\\\= \sqrt{11 \times 2 \times 3 \times 2 \times 2}\\\\= 2\sqrt{66} \: cm^2$