Question

Find the missing side of this right triangle 8 16

Answer 1

`\boxed {\boxed {\sf b= √(192)}}`

Explanation:

Since this is a right triangle, we can use Pythagorean Theorem to find the sides.

`a^2+b^2=c^2`

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.

`a=8 \\c=16`

Substitute the values into the formula.

`8^2+b^2=16^2`

Solve the exponents.

• 8² = 8*8= 64
• 16²=16*16=256

`64+b^2=256`

Subtract 64 from both sides to isolate the variable.

`64-64+b^2= 256-64 \\b^2=192`

Take the square root of both sides.

`\sqrt {b^2}=√(192)\\ b=√(192)`

The missing side is equal to √192