Answer:
The length of the sides are 21, 28 and 35
Step-by-step explanation:
2m + 14 = [tex]\sqrt{(5m)^{2} - (3m)^{2} }[/tex]
2m + 14 = [tex]\sqrt{25m^{2} - 9m^{2} }[/tex]
2m + 14 = [tex]\sqrt{16m^{2} }[/tex]
2m + 14 = 4m
Collecting like terms
14 = 4m - 2m
14 = 2m
[tex]\frac{14}{2} = \frac{2m}{2}[/tex]
m = 7
The length of sides of the triangles are:
3m = 3(7)
= 21
5m = 5(7)
= 35
2m + 14 = 2(7) + 14
= 14 + 14
= 28
∴The length of sides of the triangle are 21, 28 and 35
Hope this helps
