# Find the area of a triangle along three sides 17, 65, 80

September 29, 2021 | education

| The sought-for unidentified area of the triangle is determined using the conditional variable “Y”.

Then we define the semi-perimeter of the triangle.

As a result, we get (17 + 80 + 65) / 2 = 162/2 = 81.

Then, using the example data and taking into account Heron’s formula, we form the following expression: Y = √ (81 x (81 – 17) x (81 – 65) x (81 – 80)) = √ (81 x 64 x 16 x 1) = 9 x 8 x 4 = 9 x 32 = 288.

Answer: the area of the triangle is 288.

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