if the sides of triangle are 11cm‚60cm‚61cm then area of triangle is
Answers
Answer:
= (61 + 60 + 11)cm Therefore s = 1322 cm = 66cm Here a = 61cm , b = 60cm and c = 11cm Then by heron's formula,Area of triangle PQR = √(s(s ..
》To find -
Area of triangle.
》Given -
aa = 60\:cm60cm
bb = 61\:cm61cm
cc = 11\:cm11cm
ss = \frac{a+b+c}{2}
2
a+b+c
= \frac{60+61+11}{2}
2
60+61+11
= 66\:cm66cm
》Solution -
To find the area of a triangle, when all the sides are given, we use Herons Formula.
i.e.,
AA = \sqrt{s(s-a)(s-b)(s-c)}
s(s−a)(s−b)(s−c)
where a, b and c are the sides of the triangle and s is the sum of all the sides divided by 2.
⇒ AA = \sqrt{s(s-a)(s-b)(s-c)}
s(s−a)(s−b)(s−c)
⇒ AA = \sqrt{66(66-60)(66-61)(66-11)}
66(66−60)(66−61)(66−11)
⇒ AA = \sqrt{66(6)(5)(55)}
66(6)(5)(55)
⇒ AA = \sqrt{108900}
108900
⇒ AA = 330\:{cm}^{2}330cm
2
So, the area of the triangle is 330\:{cm}^{2}330cm
2
.