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Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|c|c|}\hline \text { height } & {1 \mathrm{m}} \\ \hline \text { base } & {0.6\mathrm{m}} \\ \hline\end{array}$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|c|c|}\hline \text { height } & {0.6 \mathrm{km}} \\ \hline \text { base } & {0.8\mathrm{km}} \\ \hline\end{array}$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|c|c|}\hline \text { height } & {1 \mathrm{m}} \\ \hline \text { base } & {85\mathrm{cm}} \\ \hline\end{array}$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|c|c|}\hline \text { height } & {8 \mathrm{cm}} \\ \hline \text { base } & {50\mathrm{mm}} \\ \hline\end{array}$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|c|c|}\hline \text { height } & {40 \mathrm{mm}} \\ \hline \text { base } & {0.2\mathrm{m}} \\ \hline\end{array}$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|c|c|}\hline \text { height } & {5 \mathrm{km}} \\ \hline \text { base } & {45 \mathrm{km}} \\ \hline\end{array}$$

$1 : 9$

we know that the ratio would be 5 to 45. They're both divisible by 55 Divided by five was 1 45 by five is nine.

In Exercises 5-20, use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

$C = 15^{\circ}15'$,

$a = 7.45$,

$b = 2.15$

$a = 11$,

$b = 15$,

$c = 21$

Use the formula from the previous question to find the height to the nearest tenth of a triangle with abase of 15 and an area of 215 .

In the following exercises, solve using the properties of triangles.Find the area of a triangle with base 45 centimeters and height 30 centimeters.

In Exercises 15-18, find the altitude of the isosceles triangle shown in the figure. Round your answers to two decimal places.

$\theta = 45^{\circ}$, $b = 6$

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## Discussion

## Video Transcript

we know that the ratio would be 5 to 45. They're both divisible by 55 Divided by five was 1 45 by five is nine.

## Recommended Questions

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form.

$$

\begin{array}{|c|c|}\hline \text { height } & {8 \mathrm{cm}} \\ \hline \text { base } & {50\mathrm{mm}} \\ \hline\end{array}

$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form.

$$

\begin{array}{|c|c|}\hline \text { height } & {40 \mathrm{mm}} \\ \hline \text { base } & {0.2\mathrm{m}} \\ \hline\end{array}

$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form.

$$

\begin{array}{|c|c|}\hline \text { height } & {1 \mathrm{m}} \\ \hline \text { base } & {0.6\mathrm{m}} \\ \hline\end{array}

$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form.

$$

\begin{array}{|c|c|}\hline \text { height } & {0.6 \mathrm{km}} \\ \hline \text { base } & {0.8\mathrm{km}} \\ \hline\end{array}

$$

Exercises $15-20$ refer to a triangle. Express the ratio of the height to the base in simplest form.

$$

\begin{array}{|c|c|}\hline \text { height } & {1 \mathrm{m}} \\ \hline \text { base } & {85\mathrm{cm}} \\ \hline\end{array}

$$

In Exercises 5-20, use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

$C = 15^{\circ}15'$,

$a = 7.45$,

$b = 2.15$

In Exercises 5-20, use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

$a = 11$,

$b = 15$,

$c = 21$

Use the formula from the previous question to find the height to the nearest tenth of a triangle with a

base of 15 and an area of 215 .

In the following exercises, solve using the properties of triangles.

Find the area of a triangle with base 45 centimeters and height 30 centimeters.

In Exercises 15-18, find the altitude of the isosceles triangle shown in the figure. Round your answers to two decimal places.

$\theta = 45^{\circ}$, $b = 6$