What is the area of the triangle if the sides are 3,5, and 6.
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calendarEducator since 2008
write3,662 answers
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We will use the formula of the area of a triangle given three sides.
The formula is the following:
A = sqrt( s*(s-a)(s-b)(s-c) such that s = perimeter/e , a, b, and c are the sides.
Let us calculate the perimeter.
==> P = 3+5+6 = 14
==> s = 14/2 = 7
==> Now we will substitute into A.
==> A = sqrt( 7*(7-3)*(7-5)*(7-6)
= sqrt( 7*4*2*1) = sqrt56 = 7.48
Then, the area of the triangle is 7.48 square units.
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calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
We have the sides of the triangle given as 3, 5 and 6.
We find the area using Heron's formula as
sqrt [ s*(s-a)(s-b)(s-c)]
s = (3 + 5 +6)/2 = 7
sqrt [ s*(s-a)(s-b)(s-c)]
=> sqtr [ 7*(7-3)(7-5)(7-6)]
=> sqrt [7*4*2*1]
=> sqrt 56
The area of the triangle is sqrt 56
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