Mathematics

In the figure, semi perimeter of triangle I is known. Would you be able to find the area of triangle II using Heron's formula?

In the figure, semi perimeter of triangle I is known. Would you be able to find the area of triangle II using Heron's formula? ARC Properties of Circle, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

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Answer

In triangle I,

Only 2 sides are given, but with the help of semi-perimeter from triangle I we can find 3rd side of the triangle, which is the common side for both the triangles.

In triangle II,

2 sides are already given and we got the 3rd side, which is common side for both triangles.

Since, the length of all the sides of the triangle are known. Thus, by using Heron's Formula we can find the area of triangle II.

Hence, yes we can find area of triangle II using Heron's Formula.

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