# Maths

posted by .

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

• Maths -

The altitude of an equilateral triangle is also a median.

The medians intersect 2/3 of the way from the vertex to the opposite side.

So, BO=4, and BD=6

BE is the diameter of the circle, so BE=8

so, what do you think?

## Similar Questions

1. ### geometry

An Equilateral triangle (ABC) is inscribed inside a circle. The side lengths of the triangle are 8 cm. What is the radius of the circle?
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

1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such …
4. ### GEOMETRY CIRCLE

1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such …

HELP ME PLEASE. 1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is …
6. ### Math

An equilateral triangle is inscribed in a circle. If the radius of the circle is 10 cm, calculate the length of a side of the triangle. Answer to nearest whole centimetre
7. ### maths

an equilateral triangle is inscribed in a circle of radius 40cm. what is the length of the sides of the triangle
8. ### maths

ABC is an isosceles triangle inscribed in a circle. If AB and AC is 2.5cm and BC is 14cm find the radius of the circle
9. ### calculus

There is a shape first a regular triangle inscribed in a circle, and inscribed in a square, inscribed in a circle, inscribed in a pentagon, etc. so polygon circle polygon circle, etc. the radius of the first circle is 1, find an equation …
10. ### 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 …

More Similar Questions