Question

a right triangle has a horizontal leg with a measure of 20 inches (in) and a hypotenuse with a measure of 25 in. what is the length, in inches (in), of the vertical leg? help: use ( a^{2}+b^{2}=c^{2} )

Explanation:

Step1: Aplicar el Teorema de Pitágoras

$$a^{2}+b^{2}=c^{2}$$
Donde \(a = 20\), \(c = 25\) y \(b\) es el cateto desconocido.

Step2: Sustituir valores

$$20^{2}+b^{2}=25^{2}$$
$$400 + b^{2}=625$$

Step3: Despejar \(b^{2}\)

$$b^{2}=625 - 400$$
$$b^{2}=225$$

Step4: Calcular \(b\)

$$b=\sqrt{225}$$
$$b = 15$$

Answer:

15