what is the value of x?
A.39
B.41
C.26
D.17
Answer:
The answer is B.
Step-by-step explanation:
You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
Let a = 40,
Let b = 9,
[tex] {c}^{2} = {40}^{2} + {9}^{2} [/tex]
[tex] {c}^{2} = 1600 + 81[/tex]
[tex] {c}^{2} = 1681[/tex]
[tex]c = \sqrt{1681} [/tex]
[tex]c = 41 \: units[/tex]
*Take note, hypotenuse will always be the longest length among the 3 lengths.
*Pythogorean Theorem can only applied in a right-angle triangle.