Question

The base of a triangle measures 10 in. If the area of the triangle is less than 27 in2, what are the possible measures of the height? h=height

Answer 1

well the area of the triangle would be \[1/2 bh\]
so \[1/2 \times 10 h < 27\]
Now solve the inequality for h

Answer 2

i dont know how to do that

Answer 3

\[5h<27\]
Can you do it now?

Answer 4

5.4 ? @beeqay

Answer 5

\[h<5.4\]
So your h could be any value less than 5.4in

Answer 6

But then remember, area of a triangle cannot be negative or zero. So h could never be negative or zero.

Answer 7

is the answer h >5.4 ?

Answer 8

No, \[h<5.4\] still holds, we do not need to flip the inequality.
We just need to restrict it such that h can never be zero or less than zero.
So you will need to introduce something to h<5.4
Any ideas?

Answer 9

i didnt mean to flip it, im just tired

Answer 10

Ok so h should be greater than zero but less than 5.4. Now do you know what the answer is?

Answer 11

no clue

Answer 12

\[0<h<5.4\] This is the expression of my previous statement and your answer.

Answer 13

thanks

Answer 14

No problem.