Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:
Thus,
The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.
Therefore when given the hypotenuse with endpoints at
We know that the third point of the right triangle will be at
and that the two side lengths will be defined by the absolute values of:
Answer:
see explanation
Step-by-step explanation:
(a)
The angle around the centre O of the circle = 360°, then
∠ AOB = 360° - 260° = 100°
Δ AOB is isosceles ( the radii OA and OB are congruent )
The altitude from O bisects ∠ AOB , thus
y = 50°
Since the triangle is isosceles the 2 base angles are congruent, so
x = =
= 40°
(b)
∠ POR = 360° - 254° = 106°
Δ POR is isosceles (the radii OP and OR are congruent ) , then
the 2 base angles are congruent , thus
a = =
= 37°