SOLUTION: An isosceles triangle is inscribed in a circle. Find the radius of the circle if one leg of the triangle is 8 cm. with 45 degree to 45 degree -90 degree. Please help me :)

Question 936623: An isosceles triangle is inscribed in a circle. Find the radius of the circle if one leg of the triangle is 8 cm. with 45 degree to 45 degree -90 degree. Please help me :)

Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An isosceles triangle is inscribed in a circle. Find the radius of the circle if one leg of the triangle is 8 cm. with 45 degree to 45 degree -90 degree.
===================
It's a right triangle, so the hypotenuse is the diameter.
Use Pythagoras to find the hypotenuse.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
radius(r) = hypotenuse(h) of right isosceles triangle / 2
h^2 = 8^2 + 8^2
h^2 = 64 + 64 = 128
h = square root(128) = 11.31
r = 11.31 / 2 = 5.655
note. To see how this works imagine a square inscribed in the circle and draw one of the squares diagonals, this gives us two inscribed isosceles right triangles, we need to work with just one of them.

RELATED QUESTIONS
An isosceles triangle is inscribed in a circle. Find the radius of the circle if one leg... (answered by Edwin McCravy)
an isosceles right triangle is inscribed in a circle. Find the radius of the circle if... (answered by ikleyn)
PQR is an isosceles triangle with a base of 18 cm and sides of 15 cm and is inscribed in... (answered by ikleyn,ankor@dixie-net.com)
A right triangle is inscribed in a circle with radius 26 cm. If the length of one of the... (answered by ikleyn)
Find the area of the isosceles triangle that can be inscribed in a circle with radius of... (answered by ikleyn)
A right triangle is inscribed in a circle with radius 26cm. If the length of one of the... (answered by josgarithmetic,MathTherapy)
A circle is inscribed in an equilateral triangle, the radius of the circle is 6 cm. Find... (answered by Fombitz)
An equilateral triangle with a perimeter of 24 square root (3) is inscribed in circle .... (answered by ewatrrr)
Find the radius of an inscribed circle in a triangle with legs 12, 12,... (answered by venugopalramana)