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Maths-

General

Easy

Question

ABCD is a Parallelogram, DL $perpendicular to the power of r end exponent$ AB If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.

10cm
8cm
12cm
14cm

hint Hint:

Calculate the answer by using the area of parallelogram formula and pythagoras formula.

The correct answer is: 12cm

$G i v e n comma A r e a space o f space p a r a l l e log r a m space equals space 100 c m squared A B space equals space 20 c m A D space equals space 13 c m D L perpendicular to the power of r space A B T o space f i n d comma A L H e r e comma w e space k n o w space t h a t A r e a space o f space p a r a l l e log r a m equals b a s e cross times h e i g h t A r e a equals A B cross times D L 100 equals 20 cross times D L D L equals 100 over 20 therefore D L equals 5 c m N o w comma i t space i s space g i v e n space t h a t space D L perpendicular to the power of r space A B U sin g space p y t h a g o r a s space t h e o r e m space f o r space triangle A D L comma open parentheses A L close parentheses squared plus open parentheses D L close parentheses squared equals open parentheses A D close parentheses squared open parentheses A L close parentheses squared plus open parentheses 5 close parentheses squared equals open parentheses 13 close parentheses squared open parentheses A L close parentheses squared plus 25 equals 169 open parentheses A L close parentheses squared equals 169 minus 25 open parentheses A L close parentheses squared equals 144 A L equals square root of 144 therefore A L equals 12 c m$

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