Question

1. find the hypotenuse of a right triangle given the legs 10 cm and 24 cm. 26 cm 21.8 cm 6.4 cm 18 cm

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Let \(a = 10\), \(b = 24\), then \(c^{2}=10^{2}+24^{2}\)

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(10^{2}=100\), \(24^{2}=576\)
So \(c^{2}=100 + 576=676\)

Step3: Find \(c\)

\(c=\sqrt{676}=26\)

Answer:

26 cm