1) The legs of
a right triangle are represented by a
and b , and the hypotenuse of the right
triangle is represented by c which equation
represents the pythagoras theorem?
a)a2+b2=c2
b)a2+c2=b2
c)a2-b2=c2
d)b2+c2=a2
Answers
a²+b²=c²
Hope this helps.
Given : The legs of a right triangle are represented by a and b , and the hypotenuse of the right triangle is represented by c
To Find : which equation represents the pythagoras theorem
a)a²+b²=c²
b)a²+c²=b²
c)a²-b²=c²
d)b²+c²=a²
Solution:
Pythagoras theorem
In a right angle triangle
Perpendicular² + Base² = Hypotenuse²
The legs of a right triangle are represented by a and b
Perpendicular and Base are legs of right angle triangle
Legs are a & b
Perpendicular = a Base = b
or Perpendicular = b Base = a
Hypotenuse = c
Perpendicular² + Base² = Hypotenuse²
=> a² + b² = c²
or b² + a² = c²
Hence a² + b² = c² represent the Pythagoras theorem
option a is correct
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