Question

If A(4, 3) B(1 - Y) and C (3, 4) are the vertices of a right angled triangle ABC. angle A=90° .then find the value of Y​

Answer 1

Step-by-step explanation:

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Answer 2

The value of y is equal to 0.

Given in the question that in the triangle ABC the angle A is a right angle. So the side BC which is opposite to angle A is the hypotenuse.

Applying Pythagoras theorem in the triangle ABC -

=> BC² = AB² + AC²

Put the values to get the value of y-

BC = √(4+(4+y)²)

AB = √(9+(3+y)²)

AC = √2

=> 4+(4+y)² = 9+(3+y)² + 2

=> 16 + y² + 8y = y² + 9 + 6y + 7

=> 2y = 0

=> y = 0

The value of y is equal to 0.