Question

Find the missing side of the right triangle (keep your answer EXACT).

a) 4
b) 9
c) 7
d) 5

Answer 1

To find the missing side of a right triangle, we can use the Pythagorean theorem. The missing side in this case is approximately 8.06.

Step-by-step explanation:

To find the missing side of a right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, we can use the equation a² + b² = c², where a and b represent the lengths of the two legs of the triangle, and c represents the length of the hypotenuse.

Let's take the given answer options one by one and substitute them in the equation to find the missing side:

1. If we substitute 4 for a and 9 for b, we get: 4² + 9² = c². Solving this equation, we get c = √97.
2. If we substitute 4 for a and 7 for b, we get: 4² + 7² = c². Solving this equation, we get c = √65.
3. If we substitute 4 for a and 5 for b, we get: 4² + 5² = c². Solving this equation, we get c = √41.

Therefore, the missing side of the right triangle is the square root of 65, which is approximately 8.06.