Find the radius of a circle circumscribed about a triangle with sides 5m, 6m and 7m.

Let’s find out how many meters the perimeter of our triangle will be:

5 + 6 + 7 = 18.

Let’s find out how many meters the half-perimeter of our triangle will be:

18: 2 = 9.

Let’s find out how many square meters the area of our triangle will equal, for which we use the formula for finding the area through three sides:

√ (9 * (9 – 7) * (9 – 6) * (9 – 5) = √ (9 * 2 * 3 * 4) = 6√6.

Let’s find out how many centimeters the radius of our circumscribed circle will be:

5 * 6 * 7: (4 * 6√6) = 8.75 / √6.

Answer: 8.75 / √6 m2.