Final answer:
To find the length of SP in kite PQRS, we use the Pythagorean Theorem to calculate the length of PQ and find that it is 5 cm. Because kite PQRS is symmetric, the length of SP is also 5 cm.
Step-by-step explanation:
To find the length of SP, we can use the Pythagorean Theorem. In kite PQRS, TQ and TP are two sides of a right triangle. We can use the Pythagorean Theorem to find the length of PQ, which is the hypotenuse. Using the formula a^2 + b^2 = c^2, we have (PQ)^2 = (TQ)^2 + (TP)^2. Substituting the given values, we get (PQ)^2 = (3 cm)^2 + (4 cm)^2 = 9 cm^2 + 16 cm^2 = 25 cm^2. Taking the square root of both sides, we find PQ = 5 cm.
Since kite PQRS is symmetric, we can see that SP is also 5 cm. Therefore, the length of SP is 5 cm.