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Nina [5.8K]
3 years ago
15

Letry. 14 Chapter 9: Chapter 9 rest Chapter Test

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

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:

S = \sqrt{p(p-a)(p-b)(p-c)}

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

p = \frac{a+b+c}{2} = \frac{15 + 8 + 17 }{2} = 20\ cm

So the area of the triangle is:

S = \sqrt{20(20-15)(20-8)(20-17)}

S = 60\ cm^2

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

S = base * height/2

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:

60 = 17 * h/2

h = 120/17

h = 7.06\ cm

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

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