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median of a triangle

01 Area of a right triangle of known median bisecting the hypotenuse

Problem
The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.

A.   7.97 cm2 C.   8.79 cm2
B.   8.97 cm2 D.   7.79 cm2

 

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02 Problem involving angle and median | Properties of a Triangle

Problem 02
From the figure shown below, angle CAD = angle BCD = theta and CD is a median of triangle ABC through vertex C. Determine the value of the angle theta.
 

02-median-angle-theta.gif

 

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