Question

4 pythagorean theore
?cm
17.2cm
17.2cm
find the length of the missing side of the right triangle.
a. 19.4cm
c. 0cm
b. 24.8cm
d. 84.4cm

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $c$ is hypotenuse, $a=17.2$, $b=17.2$

Step2: Substitute values into formula

$c^2 = (17.2)^2 + (17.2)^2 = 2\times(17.2)^2$

Step3: Calculate hypotenuse length

$c = 17.2\times\sqrt{2} \approx 17.2\times1.414 \approx 24.3$

Answer:

B. 24.3cm