Question

11. The longest side of a right angled triangle is 125 m and one of the remaining two sides is 100 m. Find its
area using Heron's formula​

Answer 1

Answer:

heron s formula s(s_a)(s_b)(s_c) is used your question is solved.

Answer 2

Answer:

By Pythagoras theorem

x^2=(125)^2-(100)^2

x^2=15625-10000

x^2 =5625

x = 75

By herons formula

a=125 ,b=100,c=75

s=a+b+c/2

s=125+100+75/2

s=300/2

s=150

Area=√s(s-a)(s-b)(s-c)

=√150(150-125)(150-100)(150-75)

=√150×25×50×75

=√3×5×5×2×5×5×5×5×2×3×5×5

=3×5×2×5×5×5

=3750m^2