3.
Given where 90° S OS 180° Include a diagram. Show all work. Leave all side
lengths in exact format(no decimals), angles to nearest degree)
(7 marks)
a)
Determine the values of x, y and r.
X
b)
Determine the value of Band 8
c)
State the 6 trigonometric ratios.
=
B =
(related acute angle)
0=
(principle angle)
I

there are infinitely many solutions.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough