Question

In the special right triangle, the length of AC is 50. What is the length of AB.

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Answer 1

AB = 25
`√(2)`

Explanation:

using the cosine ratio in the right triangle and the exact value

cos45° =
`(√(2) )/(2)` , then

cos45° =
`(adjacent)/(hypotenuse)` =
`(AB)/(AC)` =
`(AB)/(50)` =
`(√(2) )/(2)` ( cross- multiply )

2 AB = 50
`√(2)` ( divide both sides by 2 )

AB = 25
`√(2)`