Question

Find the value of x in the triangle shown below.

Answer 1

`√(12)` or
`2√(3)` (simplified)

Explanation:

Pythagorean theorem is

α²+b²=c²

a is the leg, which is 2 in this triangle

b is the base, which x in this triangle

c is the hypotenuse, which is 4 in this triangle

So, we can plug in the values:

2²+x²=4²

4+x²=16

-4 -4

x²=12

x=
`√(12)`, or if simplified:
`2√(3)`

Hope this helps!

Answer 2

√12

Explanation:

Use the Phythagorean Theorem.

2² + b² = 4²

= 4 + b² = 16

-4 -4

= b² = 12

√12