22. In AABC, P is a point on AB and Q is a point on
AC such that
AP: PB = AQ: QC
= 4: 3.
It is given that AP = u and A = v.
→>>
(a) Express PQ and BC in terms of u and v.
(b)Write down two facts about PQ and BC
using the results in (a).
(c)If the area of AAPQ is 32 cm², find the area
of AABC.
Answers & Comments
Ответ:
В ΔAPC и ΔAQB
AP = AQ … дано
∠ BAQ = ∠ CAP … ∠ Общий угол
АВ = АС … дано
Следовательно, по тесту SAS на конгруэнтность
ΔAPC ≅ ΔAQB
Отсюда доказано