in the figure, are of the reactangleABCD is 40square centimetres. P is a poin on the side CD. Q is the mid point of the line PB. find the area of triangleAPB? find the area of triangle AQB?
Answers
Answered by
0
Answer:
sorry I don't know
Step-by-step explanation:
sorry sorry
Answered by
2
Answer:
18 cm
Step-by-step explanation:
Let the hypotenuse AC=h and the other two sides be AB=a and BC=b
By Pythagoras theorem, we have h
2
=a
2
+b
2
.(1)
Given:Area of △ABC=40sq.m
Hence,
2
1
×a×b=40
⇒ab=80 2)
Given perimeter of △ABC=40 cm
That is a+b+h=40
⇒a+b=40–h
Squaring on both the sides, we get
(a+b)
2
=(40−h)
2
⇒a
2
+b
2
+2ab=1600−80h+h
2
⇒h
2
+2(80)=1600−80h+h
2
from (1) and (2)
⇒160=1600−80h
⇒80h=1600–160=1440
h=18 cm
Thus the length of hypotenuse is 18 cm.
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