# In the adjacent figure, ∠ B = 90 degrees and D and E are the trisection points of BC then prove that 3AC^2 + 5AD^2 = 8AE^2 ?

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In the adjacent figure,#/_# B = 90 degrees and D and E are the trisection points of BC then prove that #3AC^2# + #5AD^2# = #8AE^2#

In the adjacent figure,

##### 1 Answer

Jan 12, 2016

Use the Pythagorean Theorem and combine the equations

#### Explanation:

Calling

Subtracting [1] from [2]

Subtracting [1] from [3]

Using [5] in [4]

Q.E.D.