Question

What is the area of the triangle if it's sides are 35cm,84cm,91cm . (SCALEN TRIANGLE).

Answer 1

Use heron's formula for s=105 cm ......

root(s×(s-35)(s-84)(s-91)

Answer 2

Answer:

Given Information:-

• Sides of the Scalene triangle are 35 cm, 84 cm and 91 cm.
• (Note: Scalene Triangle is a triangle having it's all the sides non equal)

To Find:-

• Area of the Scalene triangle.

______________________...

Perimeter of the given triangle = (35+84+91) cm = 210 cm

According to the Heron's Fomula,

Area of a scalene triangle:

$\boxed{\tt{\sqrt {s(s-a)(s-b)(s-c)}}}$

Where,

• s = half of the perimeter
• a, b, c = it's three sides

Hence, it's semi perimeter will be = 210/2 cm = 105 cm.

Hence,

$\tt{\sqrt {105(105-35)(105-84)(105-91)}}$

(Formation of an Expression as per the formula)

$\tt{= \sqrt {105 \times 70 \times 21 \times \times 14}}$

(Subtrated the numbers the which are in the brackets)

$\tt{= \sqrt {7350 \times 294}}$

(Multiplication of the numbers inside root)

$\tt{= \sqrt{2160900}}$

(Multiplication in this step too)

$\tt{=1470 \ {cm}^{2}}$

_____________________...

REQUIRED ANSWER:-

Therefore, area of the triangle is $\tt{1470 \ {cm}^{2}}$.