Question

use the pythagorean theorem to find the missing length in the right triangle. the missing length is cm. (round to one decimal place as needed.)

Explanation:

Step1: Escribir el Teorema de Pitágoras

$$a^{2}+b^{2}=c^{2}$$
Donde \(c\) es la hipotenusa (\(26\) cm), \(b = 15\) cm y \(a\) es el cateto desconocido.

Step2: Sustituir los valores

$$a^{2}+15^{2}=26^{2}$$

Step3: Calcular los cuadrados

$$a^{2}+225 = 676$$

Step4: Isolar \(a^{2}\)

$$a^{2}=676 - 225$$
$$a^{2}=451$$

Step5: Calcular \(a\)

$$a=\sqrt{451}$$
$$a\approx21.2$$

Answer:

\(21.2\)