Question

In figura din imagine sunt reprezentate schematic doua gradini ABC si BCEF unde ∡ABC ≡ ∡CED. Cele doua gradini se imprejmuiesc cu un gard. Daca 1 m de gard costa 87 lei, aflati cat costa tot gardul. rezolvare completa.

Answer 1

m(∡ABC)=m(∡CED)
                                    }UU⇒ΔABCasemeneaΔAED⇒BC/ED=AB/AE=AC/AD
m(∡BAC)=m(∡EAD)

BC/ED=AB/AE=AC/AD
BC/ED=AB/AE
5/ED=AB/25
ED·AB=5·25=125

BC/ED=AC/AD
5/ED=5/AD
5AD=5ED
AD=ED⇒ΔEAD-isoscel⇒m(∡DAC)=m(∡CED)