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"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.

 Dec 23, 2018
 #1
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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

 

 

 

cool cool cool

 Dec 23, 2018

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