An acute triangle has side lengths 21 cm, X cm, and 2x cm. If 21 is one of the shorter side of the triangle, what is the greates

Question

Sonbull [250]

3 years ago

11

An acute triangle has side lengths 21 cm, X cm, and 2x cm. If 21 is one of the shorter side of the triangle, what is the greates

t possible length of the longest side, rounded to the nearest 10th?

Mathematics

2 answers:

tia_tia [17] · Answer 1 · 2021-10-31T22:52:43+03:00

The triangle inequality tells us that the sum of the two shorter sides of a triangle must be greater than the third side.

Here, 21 cm is one of the shorter sides, and x cm must be the length of the other shorter side.

So using the triangle inequality,
21+x > 2x
or x<21 cm
To the nearest 0.1 cm, the greatest possible length of the longest side (2x) is 2*21-0.1 cm = 41.9 cm < 2x=42 cm.

IrinaVladis [17] · Answer 2 · 2021-11-01T00:49:59+03:00

IrinaVladis [17]3 years ago

4 0

Answer: 42

Step-by-step explanation:

C