Question

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.

Answer 1

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