SOLUTION: Find the area of the inscribed circle of a triangle, where the triangle has an area of 756 cm squared (cm^2) and a perimeter of 168 cm.

Question 1109428: Find the area of the inscribed circle of a triangle, where the triangle has an area of 756 cm squared (cm^2) and a perimeter of 168 cm.
Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
.
r = ,

where A is the area of the triangle and P is its perimeter.

-------------------
See the lesson
    - Proof of the formula for the area of a triangle via the radius of the inscribed circle
in this site.

Also, you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part of this online textbook under the topic "Area of triangles".

Save the link to this online textbook together with its description

Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
find the area of the inscribed circle of a triangle, where the triangle has an area of... (answered by richard1234)

Find the area of a triangle with perimeter of 48 cm, that has an inscribed circle with an (answered by ikleyn)

Determine the area of an equilateral triangle inscribed in a circle of radius 12... (answered by Greenfinch)

Find the area of a triangle with perimeter of 210 cm and which contains an inscribed... (answered by ikleyn)

A circle is inscribed in an equilateral triangle, the radius of the circle is 6 cm. Find... (answered by Fombitz)

Find the area of the largest right triangle that can be inscribed in a circle of radius... (answered by ikleyn)

A triangle with sides of length 36 cm, 77 cm, and 85 cm are inscribed in a circle. Inside (answered by ikleyn)

A circle is inscribed inside an equilateral triangle. If the circumference of the circle... (answered by Boreal)

Determine the area of a circle inscribed in a right triangle whose legs measure 8cm and... (answered by Alan3354)