Question

In a scalene triangle, one side is 5 units more than twice the measure of the shortest side. The other side is three times the measure of the shortest side. If the sum of the three sides is 41 units, what is the measure of each side of the triangle

Answer 1

Answer:

6 units, 17 units, 18 units.

Step-by-step explanation:

Let x units be the length of the shortest line.

One side is 5 units more than twice the measure of the shortest side, then the length of this side is $2x+5$ units.

The other side is three times the measure of the shortest side, then the length of this side is $3x$ units.

If the sum of the three sides is 41 units, then

$x+2x+5+3x=41\\ \\x+2x+3x=41-5\\ \\6x=36\\ \\x=6\\ \\2x+5=2\cdot 6+5=17\\ \\3x=3\cdot 6=18$