Question

p and q are respectively midpoints of side ab and bc of a triangle abc and R is a midpoint of ap show that
1. area of triangle prq = 1\2area of arc
2. area of triangle rqc= 3\8 area of ABC
3. area of triangle pbq = area of arc

Answer 1

(i) area (ΔPRQ)=1/2 area(APQ)[since RQ is a median and median divides triangle into equal areas]

=area(ΔABC)=............(1)

area (ΔARC)=1/2 area(ΔAPC) [in the ΔACP , CR is the median]

=1/2*1/2 area(ΔABC) [since CP is the median of ABC]

=1/4*x=x/4 ............(2)

from (1) and (2) area(ΔPRQ)=1/2 area(ΔARC)

(ii)

area(ΔRQC)=1/2 area(ΔARC) [since RQ is the median of triangle ARC]

=1/2*1/2area(ΔAPC)=1/4*1/2 area(ΔABC)=1/8x

(iii)

area(ΔPBQ)=area(ΔPQC)[the triangle with same base and between same set of parallel lines ]

=1/2 area(ΔAPC) [since PQ is the median of triangle APC]

=1/2*1/2 area(ΔABC)

=1/4 area(ΔABC)=x/4

from (2) area (ΔARC)=x/4

hence area(ΔPBQ)=area(ΔARC)

Answer 2

Answer:

A chart is a tool you can use in Excel to communicate data graphically. Charts allow your audience to see the meaning behind the numbers, and they make showing comparisons and trends much easier. In this lesson, you'll learn how to insert charts and modify them so they communicate information effectively.