# MATHS

the base BC of a triangle ABC is divided at D so that BD=1/3 BC .prove that ar(triangle ABD)=1/2 ar (triangle ADC)

1. 👍 2
2. 👎 3
3. 👁 1,223
1. isn't the height of the triangle the same, so the only thing different about the two new triangles is the base?

Area ABD=1/2 Base*height= 1/2 1/3BC*h
area ADC= 1/2 Base*height= 1/2 2/3BC*h

dividefirst area by second

ratio of areas= 1/2

1. 👍 2
2. 👎 7
👨‍🏫
bobpursley
2. Not informative concept vise.Worst answer everrrrr.Shame of the person who gave this solution.

1. 👍 2
2. 👎 1

## Similar Questions

1. ### Geometry

1. In an isosceles triangle that is not equilateral the angle between the congruent sides is called a ____ A> Leg B> Vertex C> Base D> Corollary

2. ### math

Triangle ABC undergoes a series of transformations to result in triangle DEF. Is triangle DEF congruent to triangle ABC ? Is it Congruent or Not congruent? 1.)) Triangle ABC is translated 3 units up and 5 units right, and then

3. ### Centroids and Triangles - determining perimeter?

Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of triangle ABC. I drew the diagram, but it doesn't really help....

Prove that the triangles with the given vertices are congruent. A(3, 1), B(4, 5), C(2, 3) D(-1, -3), E(-5, -4), F(-3, -2) a The triangle are congruent because triangle ABC can be mapped to triangle DEF by a rotation. (x,y)--->(y,

1. ### Geometry

Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if

2. ### geometry

Use the following information to answer the question. Triangle ABC has side lengths AB=16, BC=13, and AC=7. Triangle DEF has side lengths DE=4, EF=3.25, and DF=1.75. Janna needs to prove △ABC∼△DEF. Which methods can she use

3. ### geometry

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C,

4. ### Math

To describe a sequence of transformations that map triangle ABC onto triangle ABC a student starts with a reflection over the X axis. how should the student complete sequence of transformations to map triangle ABC onto triangle

1. ### Geometry

in triaangle ABC, AB=20 cm, AC=15 cm the length of the altitude AN is 12 cm prove that ABC is a right triangle so far i got that angle ANC is 90 degrees by definition on altitude i got really confused after so can you show me how

2. ### Geometry

Given: segment BD bisects angle ABC; AB=BC. Prove: triangle ABD congruent to triangle CBD

3. ### Math

Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle

4. ### Math

Suppose line GH is congruent to line JK, line HE is congruent to line KL, and angle 1 is congruent to angle L. Can you prove that triangle GHI is congrunet to triangke JKL, abd if so, how? A. You can use SAS to prove the triangles