If two sides of a triangle are 3 cm and 5 cm in length, which could NOT be the measure of the third side? A) 2 cm B) 3 cm C) 4 c

Question

Tomtit [17]

3 years ago

15

If two sides of a triangle are 3 cm and 5 cm in length, which could NOT be the measure of the third side? A) 2 cm B) 3 cm C) 4 c

m D) 5 cm

Mathematics

2 answers:

enot [183] · Answer 1 · 2022-04-21T10:34:29+03:00

In geometry, there is a theorem that states: The sum of any two sides of a triangle is greater than that of the third

Let's try to plug in and find if any two sides added together will be greater than the third:

a) 2 cm

3+5=8 and 8>2 [acceptable]

2+3=5 but 5=5 [not acceptable]

2+8=10 and 10>5 [acceptable]

b) 3 cm

3+3=6, 6>5 [good]

3+5=8, 8>3 [good]

.....

etc

We found that the answer has to be 2cm, because if we were to add a side of 2cm with 3cm, it would equal to the third side and the theorem states that the sum has to be greater

Hope this helped :) If so, leave a rating :)

saveliy_v [14] · Answer 2 · 2022-04-21T12:37:32+03:00

saveliy_v [14]3 years ago

3 0

Answer: 2 cm i just had this question