# Math (Trig)

posted by Z

A triangle ABC has a trisected angle A. The angle trisectors divide side a (opposite angle A) into three segments which are BD, DE, and DC. The lengths are 2, 3, and 6, respectively. What are the lengths of the other sides?

1. Steve

I think you should apply the angle bisector theorem here, since AD bisects angle ABE and AE bisects angle ADC.

## Similar Questions

1. ### Pre-Calc

Consider a triangle ABC. C is a right angle, and side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. The measure of side a= 2, side b= 7, and side c= 7.3 How do you find the angle measure of A and …
2. ### math

A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0°. What are the lengths of (a) the side opposite the 30.0° angle and (b) the side adjacent to the 30.0° angle?
3. ### geometry

If a triangle has sides of lengths a and b, which make a C-degree angle, then the length of the side opposite C is c, where c2 = a2 + b2 − 2ab cosC. This is the SAS version of the Law of Cosines. Explain the terminology. Derive …
4. ### Math

Triangle ABC is similar to triangle APQ, with angle CBA equal to angle QPA and angle A common to both triangles. The lengths of sides AB, AP and PQ are 90 cm, 60 cm and 30 cm. Calculate the length of side BC.
5. ### geomerty

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of …
6. ### geometry

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. …
7. ### trigonometry

In the triangle ABC, the sides AB and BC have lengths 7cm and 8cm respectively, and angle B is obtuse. the area of the triangle is 14 root 3 cm^2. Find a.The size of angle B b. The length of AC
8. ### maths

Triangle ABC has side lengths a,b and c. If these lengths satisfy a^2=a+2b+2c and -3=a+2b-2c, what is the measure (in degrees) of the largest angle?
9. ### Geometry

The altitude to the hypotenuse of a right triangle ABC divides the hypotenuse into 12mm and 16mm segments. Find the lengths of each of the following. A. The altitude to the hypotenuse B. The shorter leg of angle ABC C. The longer leg …
10. ### Solid Mensuration 04/15/16

Given trinagle ABC whose sides are AB=15 in., AC=25 in., and BC=30 in. Form a point D on the side AB, a line DE i drawn to a pointE on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find …

More Similar Questions