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3 years ago

Point B is a point of tangency. Find the radius r of OC. А 9 B r n

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

$/AC/^{2}$ = $/AB/^{2}$ + $/BC/^{2}$

$(6 + r)^{2}$ = $9^{2}$ + $r^{2}$

36 + 12r + $r^{2}$ = 81 + $r^{2}$

collecting like terms,

12r = 81 - 36

12r = 45

r = $\frac{25}{12}$

= 3.75

r = 3.75

The radius is 3.75.

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3 years ago

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3 years ago

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Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
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Substitute in the equation to get the base as follows:
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