Question

Check if (3,6) , (3,4) and (5,4) form an isosceles triangle.​

Answer 1

${\huge{\underline{\large{\mathbb{\red{KABIR}}}}}}$

Let,

R(3,6)

A(3,4)

J(5,4)

Applying distance formula,

Distance between two points = √(x2 - x1)² + (y2 - y1)²

Case (I), R(3,6) & A(3,4)

[ Put the values in distance formula ]

=> RA = √(3 - 3)² + (4 - 6)²

=> RA = √(0)² + (-2)²

=> RA = √0 + 4

=> RA = √4

=> RA = 2 Units ------(1)

Case (II), A(3,4) & J(5,4)

[ Put the values in distance formula ]

=> AJ = √(5 - 3)² + (4 - 4)²

=> AJ = √(2)² + (0)²

=> AJ = √4 + 0

=> AJ = √4

=> AJ = 2 Units --------(2)

Case (III), R(3,6) & J(5,4)

[ Put the values in distance formula ]

=> RJ = √(5 - 3)² + (4 - 6)²

=> RJ = √(2)² + (-2)²

=> RJ = √4 + 4

=> RJ = √8

=> RJ = 2√2 Units -------(3)

From equation (1) & (2),

=> RA = AJ

Hence,

.°. ΔRAJ is an isosceles right angled triangle.

Therefore,

Point A(3,6), B(3,4) and C(5,4) form an isosceles right angled triangle.

Hope this helps you ❤❤

Answer 2

Answer:

yes it form isosceles triangle