Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Relationships in Space: Geometry and Trigonometry in 2D and 3D, Exercise 15: Exercise 11E

Find the value of $k$. If the area of the given triangle is $k {\mathrm{cm}}^2$. (round answer to the nearest tenth)

Find the value of $k$. If the area of the given triangle is $k {\mathrm{cm}}^2$. (round answer to the nearest tenth)

Find the value of $k$. If the area of the triangle is $k {\mathrm{cm}}^2$ with two sides that measure $5$ cm and $8$ cm with an included angle of $39°$.  (round answer to the nearest tenth)

In triangle $ABC$, $a=8$ cm, $b=8$ cm and the area of triangle $ABC$ is $16$ ${\mathrm{cm}}^2$. Find the measure of angle $C$.

Find the area $\left({\mathrm{cm}}^2\right)$ of this parallelogram. (Round answer to the nearest integer)

Find the surface area ( in ${\mathrm{cm}}^2$ ) of tetrahedron $ABCD$ when all of the faces are equilateral triangles with side length $10$ cm. (Round answer to the nearest integer)

Find the area ( in ${\mathrm{m}}^2$ ) of a regular pentagon of radius $4$ cm. (Round answer to the nearest integer)

Find the value of $x$ when the area of this triangle is $5\sqrt{3}$.