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Right Triangles











































Median of Triangle

AB = x - 7
AD = x + 3
DC = 2x - 17

Find AB if BD is a median of triangle ABC

Comments for Right Triangles

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Apr 17, 2013
Solve for AB
by: Staff


Answer


Part I


Every triangle has three medians.


A median is the line segment which is drawn between a vertex and the midpoint of the opposite side.


Right Triangle ABC, showing median to the hypotenuse BD

Right Triangle ABC, showing median to the hypotenuse BD




Right Triangle ABC, showing line segments as a function of x





Since BD is a median, point "D" is the midpoint of AC

Since point "D" is the midpoint of AC, then


DC = AD

the variable expressions for DC and AD are

AD = x + 3

DC = 2x - 17

solve for x by substituting the variable expressions for DC and AD


The variable expressions for DC and AD are equal





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Apr 17, 2013
Solve for AB
by: Staff


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Part II

Subtract x from each side of the equation

Subtract x from each side of the equation





add 17 to each side of the equation

Add 17 to each side of the equation





The variable expression for AB is:

AB = x - 7

Substitute 20 for x, and then calculate the value of AB

Substitute 20 for x in the variable expression for AB.







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Apr 17, 2013
Solve for AB
by: Staff


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Part III


The final answer is:

Final Answer for triangle ABC:  AB = 13.





The dimensions of the triangle are:

Dimensions of Triangle ABC








Thanks for writing.

Staff
www.solving-math-problems.com



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