Question

A^2 + B^2 = C^2

If A = 28 and B = 21, what is the value of C using the Pythagorean theorem?
a) 35
b) 40
c) 49
d) 53

Answer 1

The value of C, the hypotenuse, is found by applying the Pythagorean theorem, which gives us C = √(282 + 212) = 35. Option a) is the correct answer.

Step-by-step explanation:

The question involves applying the Pythagorean theorem to find the value of C, the hypotenuse, in a right triangle when the lengths of the other two sides are given as A = 28 and B = 21. According to the theorem, the relationship between the lengths is A2 + B2 = C2. To find C, we take the square root of the sum of the squares of A and B:

c = √(A2 + B2)

c = √(282 + 212)

c = √(784 + 441)

c = √1225

c = 35

Therefore, the value of C using the Pythagorean theorem is 35, which corresponds to option a).