SOLUTION: Find the area, in cm², of a right triangle ABD. CD is a median. https://ibb.co/Qkh9r0Q

Question 1197638: Find the area, in cm², of a right triangle ABD. CD is a median.
https://ibb.co/Qkh9r0Q

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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Find the area, in cm², of a right triangle ABD. CD is a median.
https://ibb.co/Qkh9r0Q
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For any right-angled triangle, the median drawn from the right angle 
to the hypotenuse, is equal to half of the hypotenuse.


Therefore, in the given triangle the hypotenuse length is 2*30.5 = 61 cm.


It implies that the other leg length is  =  = 60.


Thus the legs are 60 cm and 11 cm long;  therefore, the area of triangle ABC is

     = 30*11 = 330 cm^2.


ANSWER.  The area of triangle ABC is 330 cm^2.

Solved, with explanations.

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