The longer base of a trapezoid is 97. The line segment joining the midpoints of the diagonals is 3. Find the measure of shorter base.
Anonymous:
pls recheck your values.......97 and 3?? are u sure??
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Answered by
11
if a and b are bigger and smaller bases of trapezium then
line sigment joing the mid point of diagonals=(a-b)/2=3
hence b= a-6=97-6=91
line sigment joing the mid point of diagonals=(a-b)/2=3
hence b= a-6=97-6=91
line sigment joing the mid point of diagonals=(a+b)/2.......not (a-b)/2
Can you please explain it nicely......??
Ok..ok... I understood....Thanks a lot.
Welcome Srmchh
Suraj Jha , line segment joining mid points of legs is a+b/2 line segment joining mid point of diagonals is a-b/2. Do not confuse legs for diagonals
thx
Answered by
12
Dear Student,
◆ Answer -
Shorter base = 91 cm
● Explaination -
Given that line segment joining the midpoints of the diagonals is 3. Line joining midpoints of non-parallel sides is thus 97-3 = 94 cm.
Also this line is 3 cm more than shorter base. Hence, the measure of shorter base is 94-3 = 91 cm.
Thanks dear. Hope this helps you...
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