3 years ago

Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.

Mathematics

1 answer:

Ulleksa [173]3 years ago

8 0

Where is the triangles ???

step by step

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3 years ago

In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

Katena32 [7]

Answer:

$XY = 4.9$

Step-by-step explanation:

Given

$XZ= 4$

$\angle Y = 45$

$\angle Z = 60$

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

$\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}$

In this case:

$\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}$

Cross Multiply

$XY * \sin(45) = 4 * \sin(60)$

$XY * 0.7071 = 4 * 0.8660$

Make XY the subject

$XY = \frac{4 * 0.8660}{0.7071}$

$XY = \frac{3.4640}{0.7071}$

$XY = 4.89888276057$

$XY = 4.9$ -- approximated

3 0

3 years ago

Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.​

Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.