Question

Calcula en cada triangulo rectángulo el lado que hace falta

Answer 1

Explicación paso a paso:

A)

${4}^{2} + {4}^{2} = {x}^{2} \\ 16 + 16 = {x}^{2} \\ 32 = {x}^{2} \\ \sqrt{32} = x \\ 4 \sqrt{2} cm = x$

${(3.5)}^{2} + {(4.2)}^{2} = {x}^{2} \\ 12.25 + 17.64 = {x}^{2} \\ 29.89 = {x}^{2} \\ \sqrt{29.89} = x \\ 5.47 cm= x$

${(7 \sqrt{2}) }^{2} = x + x \\ (49 \times 2) = 2x \\ 98 = 2x \\ \frac{98}{2} = x \\ 49 cm= x$

D)

${10}^{2} = {8}^{2} + {x}^{2} \\ 100 = 64 + {x}^{2} \\ 100 - 64 = {x}^{2} \\ 36 = {x}^{2} \\ \sqrt{36} = x \\ 6 = x$

E)

${15}^{2} = {12}^{2} + {x}^{2} \\ 225 = 144 + {x}^{2} \\ 225 - 144 = {x}^{2} \\ 81 = {x}^{2} \\ \sqrt{81} = x \\ 9 = x$

F)

${10}^{2} = {x}^{2} + {3}^{2} \\ 100 = {x}^{2} + 9 \\ 100 - 9 = {x}^{2} \\ 91 = {x}^{2} \\ \sqrt{91} = x$