Question

9. Write the Heron's formula to find the area of a Triangle? 10. How many elements in a triangle ? (Mention the name)​

Answer 1

a = length of side a

c = length of side c

and there are 6 elements to a triangle, they are three angles and 3 sides.

Answer 2

To write: Heron's formula to find area of triangle .

                Also , give elements of triangle.

 Solution :

• Let , a, b , c be the sides of  triangle .

• We know that , formula for perimeter of triangle is -

       $\text { Perimeter of triangle }=a+b+c$  

• Then,  we find area of triangle by Heron's Formula :

       $\text { Area of triangle }=\sqrt{s(s-a)(s-b)(s-c)}$

•  Where, s = semi perimeter and ,a, b, c are sides of triangle .

       $s = \frac{perimeter}{2} \\s = \frac{a + b+ c}{2}$

• By putting values , we find area of triangle .
• Now , There are six elements of triangle , they are three sides of triangle and three angles of triangle .  

Hence, area of triangle is given by: $\text { Area of triangle }=\sqrt{s(s-a)(s-b)(s-c)}$  

Elements of triangle = $6$ ( $3$ sides of triangle + $3$ angles of triangle ) .