Letry. 14 Chapter 9: Chapter 9 rest Chapter Test A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height of the roof.
Round your answer to the nearest tenth.
15 ft
h
8 ft
17 ft

h = 7.1 cm

Step-by-step explanation:

To find the height of the triangle, we can first find the area of the triangle using the Heron's formula:

Where a, b and c are the sides of the triangle and p is the semi perimeter of the triangle:

So the area of the triangle is:

Now, to find the height, we can use the following equation for the area of the triangle:

The height draw in the figure is relative to the side of 17 cm, so this side is the value of base used in the formula. So we have that:

Rounding to the nearest tenth, we have h = 7.1 cm

the answer is b

step-by-step explanation:

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