1. Since AB = 5 and EB = 4, then we will use
the Pythagorean theorem to solve for AE
which is c? = a2 + b2.
(AB)2 = (AE)2 + (BE)
(5) = (AE)? + (4)?
25 = (AE)? + 16
25 - 16 =(AE)2
9 = (AE)? extracting square root.
V9 = AE
3 = AE or
AE = 3 units
the Pythagorean theorem to solve for AE
which is c? = a2 + b2.
(AB)2 = (AE)2 + (BE)
(5) = (AE)? + (4)?
25 = (AE)? + 16
25 - 16 =(AE)2
9 = (AE)? extracting square root.
V9 = AE
3 = AE or
AE = 3 units
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Answer: AE = 3
Step-by-step explanation:
A Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.