Math, asked by shravyasmalnad, 11 months ago

if A(4,3);B(-1,Y) and C(3,4) are the vertices of the right angled triangle ABC angle A=90° . Then find the value of Y.

Answers

Answered by Michaelsrijan
1

Answer:

Step-by-step explanation:

graph I don't know

sorry

Answered by lublana
5

The value of y=-2

Step-by-step explanation:

In triangle ABC

Angle A=90 degree

A(4,3),B(-1,y) and C(3,4)

Distance formula:\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the formula

AB^2=(-1-4)^2+(y-3)^2=25+y^2-6y+9=y^2-6y+34

BC^2=(3+1)^2+(4-y)^2=16+16+y^2-8y=y^2-8y+32

AC^2=(3-4)^2+(4-3)^2=1+1=2

Using identity:

(a-b)^2=a^2+b^2-2ab

Pythagoras theorem:(hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

Using Pythagoras theorem

BC^2=AC^2+AB^2

Substitute the values

y^2-8y+32=2+y^2-6y+34

y^2-8y+32-y^2+6y=36-32

-2y=4

y=\frac{4}{-2}=-2

Hence, the value of y=-2

#Learn more:

brainly.in/question/1094190:answered by Wmaliksab

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