Answer to Question #248530 in Geometry for HASSI

Question #248530

A circle has an area equal to 25pi cm2. Its diameter AB coincides with one of the sides of triangle ACB whose vertex C lies on the circle. If the triangle has an area equal to 11 cm2, find the perimeter of the triangle.

1
Expert's answer
2021-10-11T16:31:53-0400

area of circle="\\pi r^2=25\\pi"

"r^2=25,r=5"

diameter AB="2\\times5=10cm"

area of triangle"=1\/2bh=1\/2\\times10\\times h=11"

"5h=11,h=2.2cm"

hypotenuse="\\sqrt{2.2^2+5^2}=5.463"

perimeter of triangle="10+5.463\\times2=20.926cm"


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