Question

the legs of a right triangle measure 7 cm and 9 cm. what is the length of the hypotenuse? 16 cm 11.4 cm 8.3 cm 5.7 cm

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 7\) and \(b=9\). Then \(7^{2}+9^{2}=c^{2}\).

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

\(7^{2}=49\), \(9^{2}=81\). So \(49 + 81=c^{2}\), \(c^{2}=130\).

Step3: Find \(c\)

\(c=\sqrt{130}\approx11.4\) (rounded to one decimal place).

Answer:

11.4 cm