math

A circle is inscribed in triangle ABC with sides a, b, c. Tangents to the circle parallel to the sides of the triangle are constructed. Each of these tangents cuts off a triangle from ∆ABC. In each of these triangles, a circle is inscribed.
Find the sum of the areas of all four inscribed circles (in terms of a, b, c).

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The

  2. Geometry

    Which step is the same when constructing an inscribed square and an inscribed equilateral triangle? A.Connect every arc along the circle. B.Construct a circle of any arbitrary radius. C.Set the compass width to greater than half

  3. Urgent CALCULUS

    So, I haven't posted in a while...but now I am stummped! Only question I can't get today! A team of students seeks to make a flag representing their commitment to the earth. They will be using a green triangle inscribed in a

  4. math

    Prove that if a triangle is inscribed in a circle,the sides of a triangle are equidistant from the centre of the circle then the triangle is equilateral

  1. geometry

    A 30-60-90 triangle is inscribed in a circle. The length of the hypotenuse is 12 inches. If a coin is tossed on the figure, what is the probability that the coin will land in the circle, but outside the triangle?

  2. math

    An equilateral triangle is inscribed in a circle. The radius of the circle is 21 in. Determine the side length of the triangle to the nearest 10th of an inch

  3. math

    an equilateral triangle of side 10cm is inscribed in a circle. find the radius of the circle? show the solution

  4. Maths

    Equilateral triangle ABC is inscribed in circle O, whose radius is 4. Altitude BD is extended until it intersects the circle at E. What is the length of DE? a) √3 b) 2√3 c) 2 d) 4√3

  1. geometry

    m

  2. geometry

    The perimeter of a triangle, its area, and the radius of the circle inscribed in the triangle are related in an interesting way. Prove that the radius of the circle times the perimeter of the triangle equals twice the area of the

  3. Math

    Triangle ABC is circumscribed about circle O and D,E, and F are points of tangency. If AD= 5, EB= 5 and CF= 10, find the lengths of the sides of the triangle and show that the triangle is isosceles

  4. Math

    29. An equilateral triangle of side 10cm is inscribed in a circle. Find the radius of the circle

You can view more similar questions or ask a new question.