4use the chart for on the right side
< a = 90° (right angle)
< b = 90° - 59° = 31° (complementary angles)
< c = 180° - 59° = 121° (supplementary angles)
< d = 59° (vertical angles)
by using the pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.
thus, where where a and b are the legs and c is the hypotenuse.
let a=6ft, b=21ft and c=23ft, then
which is not possible, therefore the given triangle is not right triangle because it does not satisfy the pythagoras theorem.
x = 45°
"isosceles" means the base angles are congruent: they both have the same measure, 45°. (the hypotenuse is the "base" for this isosceles triangle.)
the acute angles of a right triangle are complementary, so the third angle can also be found as 90° -45° = 45°.