Question

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Answer 1

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Answer 2

Respuesta:

19. DC = 12

20. DC = 25

Explicación paso a paso:

19.

Datos:

$\large {\mathsf{\overline{AB} = 6 }}\\ \large {\mathsf{\overline{AD} = 3 }}\\ \large {\mathsf{\overline{DC} = x}}$

Solucion

$\large {\mathsf{ {(\overline{AB})}^{2} = (\overline{AD}) .(\overline{DC} )}}$

$\large {\mathsf{{(6)}^{2} = (3).( \overline{DC})}} \\ \large {\mathsf{36 = 3 \overline{DC}}}\\\large {\mathsf{ \overline{DC}= \frac{36}{3} }}\\ \large { \boxed{\mathsf{ \overline{DC}= 12}}}$

20.

Datos:

$\large {\mathsf{\overline{AB} = 10}}\\ \large {\mathsf{\overline{AD} = 4}}\\ \large {\mathsf{\overline{DC} = x}}$

Solucion

$\large {\mathsf{ {(\overline{AB})}^{2} = (\overline{AD}) .(\overline{DC} )}}$

$\large {\mathsf{{(10)}^{2} = (4).( \overline{DC})}} \\ \large {\mathsf{100 = 4 \overline{DC}}}\\\large {\mathsf{ \overline{DC}= \frac{100}{4} }}\\ \large { \boxed{\mathsf{ \overline{DC}= 25}}}$