Question

Cho \(\Delta ABC \backsim \Delta MNP\) và \(\widehat A = 45^\circ ,\,\,\widehat B = 60^\circ \). Tính các góc C, M, N, P.

Answer 1

Vì \(\Delta ABC \backsim \Delta MNP\) nên:

\(\left\{ \begin{array}{l}\widehat A = \widehat M = 45^\circ \\\widehat B = \widehat N = 60^\circ \\\widehat C = \widehat P\end{array} \right.\)

Xét tam giác ABC có:

\(\begin{array}{l}\widehat A + \widehat B + \widehat C = 180^\circ \\45^\circ  + 60^\circ  + \widehat C = 180^\circ \\\widehat C = 180^\circ  - 45^\circ  - 60^\circ  = 75^\circ \end{array}\)

\( \Rightarrow \widehat C = \widehat P = 75^\circ \)