Answer:
right triangle
Explanation:
This question prepares you to use the Pythagorean Theorem, which says that sum of the squares of the shortest sides equals the square of the longest side (i.e., the hypotenuse which is always opposite the right angle in the right triangle)
We can visualize this with the equation for Pythagorean Theorem, which is given by:
a^2 + b^2 = c^2, where
- a and b are the shortest side,
- and c is the longest side called the hypotenuse.
Step 1: Determine what is 5√11 and √396:
5√11 is 16.58312395 while √396 = 19.89974874.
Thus, √396 is the longest side.
Therefore, we can plug in 11 for a, 5√11 for b, and √396 for c in the Pythagorean Theorem.
The three sides can form a right triangle if and only if the equation proves true after simplifying:
11^2 + (5√11)^2 = (√396)^2
121 + 275 = 396
396 = 396
Since the equation is true, the three side lenghts will form a right triangle.