QUESTION IMAGE
Question
- determine whether the forces in the pair are pulling at right angles to each other.
for the values ( a = 3.4 ) and ( b = 2.6 ), which are legs of a right triangle, find ( c ), the hypotenuse, to the nearest tenth.
2.2
2.6
4.3
5.5
Step1: Aplicar el Teorema de Pitágoras
El Teorema de Pitágoras establece que \(c^{2}=a^{2}+b^{2}\), donde \(a = 3.4\) y \(b = 2.6\).
Sustituir los valores: \(c^{2}=(3.4)^{2}+(2.6)^{2}\).
Calcular los cuadrados: \((3.4)^{2}=11.56\) y \((2.6)^{2}=6.76\).
Entonces \(c^{2}=11.56 + 6.76\).
Step2: Calcular \(c^{2}\)
\(c^{2}=11.56+6.76 = 18.32\).
Step3: Calcular \(c\)
Tomar la raíz cuadrada de \(c^{2}\): \(c=\sqrt{18.32}\).
\(c\approx4.3\) (redondeado a la décima más cercana).
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C. 4.3