Answer:
2√73 or 17.09 inches
Step-by-step explanation:
The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²
a = 6
b = 16
c = ?
Plug these values into the equation.
(6)² + (16)² = c²
Evaluate the exponents.
36 + 256 = c²
292 = c²
Take the square root of both sides to find c.
√292 = √c²
17.09 ≈ c
This is your answer.
You can also simplify the radical without using decimals.
4 • 73 = 292
Therefore,
√4 • √73 = √292
Which also means,
2•√73 = √292
So your answer is: 2√73
Hope this helps!
