Răspuns:
Explicație pas cu pas:
a)ΔDAP este Δ isoscel de baza AP ⇒∡ADP=90°-60°=30°
⇒∡DAP=(180°-30°)/2=150°/2=75°
∡BAQ=90°-∡DAR=90°-75°=15°
b)
PR⊥AB si PR║BC ⇒PR linie mijlocie in ΔABQ ⇒BQ=2PR
PR=BC-PT PT=inaltime in Δ echilateral DCP
PT=4√3/2=2√3 cm
PR=4-2√3 cm=2(2-√3) cm
PQ=2PR=4(2-√3) cm
QC=BC-PQ=4-4(2-√3)=4-8+4√3=4√3-4=4(√3-1) cm
Show life that you have a thousand reasons to smile
© Copyright 2024 DOKU.TIPS - All rights reserved.
Verified answer
Răspuns:
Explicație pas cu pas:
a)ΔDAP este Δ isoscel de baza AP ⇒∡ADP=90°-60°=30°
⇒∡DAP=(180°-30°)/2=150°/2=75°
∡BAQ=90°-∡DAR=90°-75°=15°
b)
PR⊥AB si PR║BC ⇒PR linie mijlocie in ΔABQ ⇒BQ=2PR
PR=BC-PT PT=inaltime in Δ echilateral DCP
PT=4√3/2=2√3 cm
PR=4-2√3 cm=2(2-√3) cm
PQ=2PR=4(2-√3) cm
QC=BC-PQ=4-4(2-√3)=4-8+4√3=4√3-4=4(√3-1) cm