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3. determine whether the forces in the pair are pulling at right angles…

Question

  1. 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

Explanation:

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).

Answer:

C. 4.3