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.
Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr × 
= 2π × 7 × 
= 14π × 
=
≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr ×
7.5 = 2πr ×
( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r =
≈ 3.6 ft
64/81 is the answer.
8 x 8 64
——— = —
9 x 9 81