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=πr2=25π\pi r^2=25\pi

r2=25,r=5r^2=25,r=5

diameter AB=2×5=10cm2\times5=10cm

area of triangle=1/2bh=1/2×10×h=11=1/2bh=1/2\times10\times h=11

5h=11,h=2.2cm5h=11,h=2.2cm

hypotenuse=2.22+52=5.463\sqrt{2.2^2+5^2}=5.463

perimeter of triangle=10+5.463×2=20.926cm10+5.463\times2=20.926cm


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment