Q74. - Algebra 1

Question

For which triangle is the height not $4\frac{1}{2}b$ where $b$ is the length of the base?

Step-by-Step Solution

Answer

The triangle not satisfying the given relation is triangle RST.

Step-1. Write given information.

Given relation is $h=4\frac{1}{2}b$.

Given Table:

Step-2 – Calculation

For triangle ABC:

$\begin{array}{l}b=3.8\\ h=17.1\\ h=4\frac{1}{2}b\\ 17.1=\frac{9}{2}\left(3.8\right)\\ 17.1=17.1\end{array}$

For triangle MQP:

$\begin{array}{l}b=5.4\\ h=24.3\\ h=4\frac{1}{2}b\\ 24.3=\frac{9}{2}\left(5.4\right)\\ 24.3=24.3\end{array}$

For triangle RST:

$\begin{array}{l}b=6.3\\ h=28.5\\ h=4\frac{1}{2}b\\ 28.5=\frac{9}{2}\left(6.3\right)\\ 28.5=28.35\end{array}$

For triangle TRW:

$\begin{array}{l}b=1.6\\ h=7.2\\ h=4\frac{1}{2}b\\ 7.2=\frac{9}{2}\left(1.6\right)\\ 7.2=7.2\end{array}$

Step-3. Checking results.

The triangle not satisfying the given relation is triangle RST.