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bogdanovich [222]
3 years ago
14

A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if: Given m∠C = 90°, k(O, r) i

nscribed in △ABC, AC = 8 cm, BC = 6 cm. Find r.
Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
7 0

Answer:

5

Step-by-step explanation:

Anastaziya [24]3 years ago
6 0

Answer:

The radius is r=5\ cm

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

m

m

substitute

90\°=(1/2)[arc\ AB]

arc\ AB=180\°

That means----> The length side AB of the inscribed triangle is a diameter of the circle

Applying Pythagoras Theorem

Calculate the length side AB

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

AB^{2}=8^{2}+6^{2}

AB^{2}=100

AB=10\ cm -----> is the diameter

Find the radius

r=10/2=5\ cm -----> the radius is half the diameter

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