Posted by **Amy** on Sunday, July 26, 2009 at 10:24pm.

Isosceles Triangle ABC is inscribed in a circle with radius 12cm. Aide AB is a diameter. Determine the perimeter of the triangle, correct to one decimal place.

- math -
**drwls**, Monday, July 27, 2009 at 1:52am
Point C must be midway between A and B on the circle since the triangle is isosceles. ABC therefore has angles of 45, 90 and 45 degrees. AB has length 12 cm. AC and BC have lengths

6/sin45 = 6*2/sqrt2 = 6 sqrt2

The total perimeter is 12 + 12sqrt2 =

12(1 + sqrt2)= 29.0 cm

Drawing the figure yourself should help explain where I got the above numbers.

## Answer this Question

## Related Questions

- Geometry - semicircle inside isosceles triangle - Isosceles triangle ABC has ...
- Math - The radius of the inscribed circle is 5. If the length of the hypotenuse ...
- GEOMETRY CIRCLE - 1.An isosceles triangle with each leg measuring 13 cm is ...
- geometry - The radius of the inscribed circle is equal to twice the area of the ...
- math - ABC is an isosceles triangle inscribed in a circle. If AB and AC equal to...
- Math (Geometry) - The perimeter of right triangle ABC is equal to the perimeter ...
- GEOMETRY CIRCLES PLEASE - HELP ME PLEASE. 1.An isosceles triangle with each leg...
- geometry - The perimeter of a triangle, its area, and the radius of the circle ...
- GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...
- maths - ABC is an isosceles triangle inscribed in a circle. If AB and AC is 2....

More Related Questions