Question

Given the triangle, if a = 2 and b = 3, find c.

Answer 1

The Pythagorean theorem can be used to find the length of the hypotenuse of a right triangle. In this case, if a = 2 and b = 3, we can substitute these values into the equation and solve for c. The value of c is approximately 3.605.

Step-by-step explanation:

The Pythagorean theorem relates the length of the legs of a right triangle, labeled a and b, with the hypotenuse, labeled c. The relationship is given by: a² + b² = c². This can be rewritten, solving for c: c = √(a²+ b²).

In this case, if a = 2 and b = 3, we can substitute these values into the equation and solve for c:

1. Substitute a = 2 and b = 3 into the equation: 2² + 3² = c²
2. Calculate: 4 + 9 = c²
3. Add the numbers together: 13 = c²
4. Take the square root of both sides to find c: √13 = c

Therefore, the value of c is approximately 3.605.