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# geometry

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Let ABC be a right triangle such that B is a right angle. A circle with diameter of BC meets side AC at D. If the area of ABC is 150 and AC = 40 then what is BD?

Apr 23, 2022

#1
+13577
+2

what is BD?

Hello Guest!

BD is perpendicular to AC, so it is the height of triangle ABC. So is

$$BD=\frac{2\cdot 150}{40}=\color{blue}7.5$$

!

Apr 23, 2022

#1
+13577
+2

what is BD?

Hello Guest!

BD is perpendicular to AC, so it is the height of triangle ABC. So is

$$BD=\frac{2\cdot 150}{40}=\color{blue}7.5$$

!

asinus Apr 23, 2022