Question

Find the value of x in the triangle shown below.

Answer 1

Answer:

√12

Step-by-step explanation:

Use the Phythagorean Theorem.

2² + b² = 4²

= 4 + b² = 16

 -4            -4

= b² = 12

√12

Answer 2

Answer:

$\sqrt{12}$ or $2\sqrt{3}$ (simplified)

Step-by-step 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=$\sqrt{12}$, or if simplified: $2\sqrt{3}$

Hope this helps!