Question

Draw a triangles with sides of 9 cm, 7 cm, and 5 cm. Find its perimeter

Answer 1

The perimeter is 21 cm.

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Answer 2

12 + √74 cm

Explanation:

The perimeter (literally meaning "around measure") is the length around an area, shape, or boundary. Here, we have a right triangle, and the legs of that right triangle measure 5 cm and 7 cm. Using the Pythagorean theorem, we can find the hypotenuse (we'll call it h):

`5^2+7^2=h^2\\25 + 49=h^2\\74=h^2\\√(74)=h\\`

Adding all the lengths together, we find a perimeter of

5 + 7 + √74 = 12 + √74 cm