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What is the value of x?

What is the value of x?-example-1

2 Answers

2 votes
This is a right triangle so:
x^2 + 48^2 = 50^2
x = sqrt(50^2 - 48^2)
x=sqrt(196)
x=14
User Bvamos
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5.8k points
1 vote

To solve this you must use Pythagorean theorem:


a^(2) +b^(2) =c^(2)

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 48

b = x

c = 50

^^^Plug these numbers into the theorem


48^(2) +x^(2) =50^(2)

simplify

2304 +
x^(2) = 2500

Isolate x^2 by subtracting 2304 to both sides


x^(2) = 196

To remove the square from x take the square root of both sides to get you...

14 = x

Hope this helped!

~Just a girl in love with Shawn Mendes

User Anders
by
5.6k points