"A triangle has a ratio of 3:4:5. If its perimeter is 120 m, what is its area in square meters?"

Based on the ratio, the triangle seems scalene. I have computed for the lengths, and they are 30 m, 40 m, and 50 m. However, I am stuck because I do not know which of them should be the base or the height in order for me to use the formula for the triangle's area = 1/2 (b) (h)

Please help.

Guest Dec 23, 2018

#1**+1 **

Notice that we have 3 + 4 + 5 = 12 equal parts of 120m = 10 m each

3 of these = 30m

4 of these = 40m

5 of these i= 50m

A 3-4-5 triangle is a Pythagorean right triangle....so.....each side of this triangle is 10 times as much

So..We have a right triangle with legs of 30m and 40m and a hypotenuse of 50m

The area is product of legs / 2 = 30 * 40 / 2 = 600 m^2

CPhill Dec 23, 2018