a right angle as an area 24 Sq m one of its perpendicular side as a lenth 6 m what is the length of the other side? plz answer this question plz answer
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Answer:
Step-by-step explanation:
Let the length of one perpendicular be a cm.
Then, the length of the other perpendicular =(a+6)cm
Now, area of triangle =36 sq.cm
⇒
2
1
×a×(a+6)=36
⇒a
2
+6a=72
⇒a
2
+6a−72=0
⇒a
2
+12a−6a−72=0
⇒(a+12)(a−6)=0
⇒a=12 or a=6
But length cannot be negative, hence a=6 cm
Thus length of its perpendicular sides are, a=6 cm and a+6=12 cm.
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