In a triangle ABC two points D, E are taken on BC so that angle BAD=angle DAE=angleCAE. Determine AE if AB=5,BC=10 angle BAC=90. PLEASE HELP I NEED HELP WITHIN TEN MINS PLEASE

AE = 7.5

Step-by-step explanation:

Since <BAC = , then;

<BAD = <DAE = <CAE = (complementary angles)

From ΔABC, applying the Pythagoras theorem to determine the length of side AC;

= +

= +

100 = + 25

= 100 - 25

= 75

AC =

Applying trigonometric function to ΔCAE,

Cos =

AE = × Cos

    = 7.5

Therefore, AE = 7.5

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