Two sides of a triangle have lengths 9 cm and 20 cm.

a.) must the 9cm side be the shortest side?

b.) must the 20cm side be the longest side?

We're a place where learners ask for help for their tasks and share their knowledge.

Two sides of a triangle have lengths 9 cm and 20 cm.

a.) must the 9cm side be the shortest side?

b.) must the 20cm side be the longest side?

For further actions, you may consider blocking this person and/or reporting abuse

™PrettiC→♥™ -

Theresa Mcdonald -

redpandasrule -

punkkid917 -

Anthony -

muffinz -

Molly Dennis -

Cupcake -

Ashleigh P -

Takima E -

Ryan_kidz -

fubnub -

just me -

the one and only me -

John Scott -

Inderpreet -

M.W -

famousactor143 -

iqnabeel -

LUCKY☆STAR -

## Answers (1)

Hi,

If you know the lengths of 2 sides as "a" and "b" where a > b, then the length of the third side "x" must be such that:

a - b < x < a + b

In this case, 20 - 9 < x < 20 + 9, so 11 < x < 29

The third side must be greater than 11 in length, but can also be anything less than 29.

Two sides of a triangle have lengths 9 cm and 20 cm.

a.) must the 9cm side be the shortest side?

Yes, since the other side must be greater than 11, 9 is definitely the shortest side.

b.) must the 20cm side be the longest side?

No, 20 cm does not have to be the longest side because the third side can be any number less than 29, so lengths of 21 cm or 28 cm would be longer for the third side.

I hope that helps!! :-)