Question

the area of a trianlge whose sides are 9cm, 5cm,and 4 cm is ( using herons formula)​

Answer 1

Answer:

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Step-by-step explanation:

First, find the third side. Since perimeter is the sum of sides, we have 9+5+x = 21.

14 + x = 21 or x = 7cm.

Now, using Heron's formula, we can find the area as given below (since this is a scalene triangle, with all three sides unequal).

Area = sqrt (s*(s-a)*(s-b)*(s-c))

where s = semi-perimeter.

Thus, s = 21/2 = 10.5.

Area = sqrt (10.5 * (10.5-5) * (10.5 - 9) * (10.5-7))

        = sqrt (10.5 * 5.5 * 1.5 * 3.5)

        = sqrt (303.1875)

        = 17.41228 sq. cm.

Thus, the area of the triangle is 17.41228 sq. cm.

thanks:)

Answer 2

Answer:

hope it helps you

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