Question

An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth? 18.8 cm 24.2 cm 42.0 cm 72.7 cm

Answer 1

Since shorter side is 21cm 2x will be the longest side

2x ∠ 21 + x

2x - x  ∠ 21

x ∠ 21

So 2x ∠ 42

So longest side can be either 18.8cm and 42cm. Since it should be longest side and should be above 21cm, longest side would be 24.2cm

Option B = 24.2cm

Answer 2

Answer:

B

Step-by-step explanation: