Answer:
Hence, ab=13
Step-by-step explanation:
" Mid-point is a point which divide the line segment into two equal parts that is the dimension of both the parts on the left and right of that point are equal "
Now as we are given a rectangle pqrs such that pq=10 and ps=24.
also a and b are the midpoints of sides pq and qr respectively.
as pqrs is a rectangle.
Hence, pq=rs and ps=qr
Hence, qr=24 units.
Now as a is mid point of pq.
Hence, length of pa=5 units (since 10/2=5)
and aq=5 units (since 10/2=5).
similarly qb=12 (since 24/2=12)
br=12 (since 24/2=12)
Now ab could be find out by forming a right angled triangle as measure of each of the angles of a rectangle are 90°.
Hence we will consider a right angled triangle as aqb.
As aq=5, qb=12 ,
now using the Pythagorean theorem we have:
[tex]ab^2=aq^2+qb^2\\\\ab^2=5^2+12^2\\\\ab^2=25+144=169=13^2\\\\ab=13[/tex]
Hence, ab=13
