Question

2001:01:11CA triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h,in cm?4x

Answer 1

SOLUTION

$\begin{gathered} \text{The triangle has lengths } \\ 3x,7x\text{ and h} \\ \end{gathered}$

To get h

$\begin{gathered} h\text{ must be greater than difference betw}ee\text{n} \\ 3x\text{ and 7x} \\ \text{That is } \\ 7x-3x=4x \end{gathered}$

And also

$\begin{gathered} h\text{ must be less than the sum of 7x and 3x} \\ \text{That is } \\ 7x+3x=10x \end{gathered}$

So

[tex]\begin{gathered} h>4x\text{ and } \\ h<10x \\ \text{Therefore } \\ 4x4x is less than h and h is less than 10x

The first option is therefore the correct answer