Question

Find the area of the following shape. Please show work.

Answer 1

Explanation:

The area of a triangle is given by the formula:

● A = (b×h)/2

b is the base and h is the heigth.

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Draw the heigth. This gives you two small right triangles.

Let's focus on the right one containing 45°.

● sin 45° = h/8

● h = sin 45° × 8 = 4√(2)

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Replace h by its value in the area formula. The base is 17

● A = (17× 4√(2))/ 2

● A = 34√(2)

● A = 48.08

Round to the nearest unit

● A = 48

Answer 2

Area = 48 sq. units

Explanation:

will make it short and simple.

area of a triangle = 1/2 * a * b * sinФ

area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units