Answer:
To prove that the triangle is a right- isosceles triangle, prove that
- There is a right angle in the triangle
- Two sides of the triangle are equal in length
Another way to prove that angle YXZ is a right angle is to calculate the length of XY, XZ and YZ using the distance formula. Then show that (YZ)² = (XY)² + (XZ)².
By the inverse of Pythagoras' Theorem, ∡YXZ is a right angle.
*The product of the gradients of 2 perpendicular lines= -1.
Please see the attached pictures for full solution.
