Question

Geometry help! Please prove the following is a right- isosceles triangle, show all steps. (30 pts!!)

Answer 1

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.