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Given: Triangle
WTR with
WT=13 and
WR=21. Identify possible lengths for
TR.
32
50
11
45
25
34
8
6

Given: Triangle $W T R$ with $W T=13$ and $W R=21$ . Identify possible lengths for $T R$ . $\newline$ $32$ $\newline$ $50$ $\newline$ $11$ $\newline$ $45$ $\newline$ $25$ $\newline$ $34$ $\newline$ $8$ $\newline$ $6$

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Write inverse variation equations

Full solution

Q. Given: Triangle

W T R

with

W T=13

and

W R=21

. Identify possible lengths for

T R

.

\newline

32

\newline

50

\newline

11

\newline

45

\newline

25

\newline

34

\newline

8

\newline

6

Apply Triangle Inequality Theorem: Step $1$ : Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Check TR Length: Step $2$ : Check if $50$ can be the length of TR: $\newline$ $WT + TR > WR$ $\newline$ $13 + 50 > 21$ $\newline$ $63 > 21$ (True) $\newline$ $WT + WR > TR$ $\newline$ $13 + 21 > 50$ $\newline$ $34 > 50$ (False)

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