Verify the property p×(q+r)=(p×r)+(p×r) by taking
p=5/2,q= -1/5and r = -3/4
Answers
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Step-by-step explanation:
Given,
P(−2,2)
Q(2,2)
R(2,7)
⇒∣PQ∣=
(−2−2)
2
+(2−2)
2
=
(4)
2
=4units
⇒∣PR∣=
(−2−2)
2
+(2−7)
2
=
(4)
2
+5
2
=
16+25
=
41
units
⇒∣PQ∣=
(2−2)
2
+(2−7)
2
=
(5)
2
=5units
we can clearly see that
⇒∣PR∣
2
=∣PQ∣
2
+∣QR∣
2
( Pythagoras theorem )
since ∣PQ∣
2
=16
and ∣QR∣
2
=25
∴∣PQ∣
2
+∣QR∣
2
=16+25=41
and we have ∣PR∣=
41
∴∣PR∣
2
=41units
Hence, we have 'PR' as the hypotenuse and PQ and QR are the other two legs of the right angled triangle.
hope this helped
i dont know these maths
found this on google
hopefully u find this helpful
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