Question

The longest side of a triangle is 3 times the length of the shortest side. The remaining side is 35 cm longer than the shortest side, and the perimeter of the triangle is 175 cm. What are the side lengths of the triangle?

A. 7 cm, 42 cm, 126 cm
B. 28 cm, 63 cm, 84 cm
C. 30 cm, 55 cm, 90 cm
D. 20 cm, 60 cm, 95 cm
PLease show step-by-step if possible. Thank you!

Answer 1

Answer:

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Step-by-step explanation:

Let shortest side =a

Then, longest side =3a

Third side =a+35

Perimeter =a+3a+a+35=175cm ⇒5a=140⇒a= 140/5

a=28

Hence, shortest side =28cm

longer side=84cm

third side =63cm

Answer 2

Answer:

7 cm,42 cm,126 cm

Step-by-step explanation: