## Area of the equilateral triangle, Mathematics

Assignment Help:

Area of the equilateral triangle: Given : D, E, F are the mind points of BC, CA, AB.
R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle ABC.
Proof : F is the mid point of AB.
D is the mid point of BC.

FD||AC => FD||AE

Similarly ED||AF
FE||BD
AFDE is a parallelogram.
∠A = ∠D (Opposite angles in a parallelogram)

Similarly BDEF is a parallelogram.
∠B = ∠E

In ΔABC, ΔDEF

∠A =∠D proved

∠B =∠E proved

ΔABC ~ ΔDEF (A. A similarity) Ratio of the areas of triangle DEF and triangle ABC = 1 : 4

#### Basic computation formulas of differentiation, Basic "computation" formulas...

Basic "computation" formulas : Next, let's take a quick look at some basic "computation" formulas that will let us to actually compute some derivatives. Formulas 1)   If f

#### Numbers, use the distributive law to write each multiplication in a differe...

use the distributive law to write each multiplication in a different way. then find the answer. 12x14 16x13 14x18 9x108 12x136 20x147

#### Quanitive thinking for decision making, two Indiana state senate candidates...

two Indiana state senate candidates must decide which city to visit the day before the november election. The same four cities are available for both candidates. These cities are l

#### What is the probability of tossing a head, Q. What is the probability of to...

Q. What is the probability of tossing a head? List the sample space for tossing a coin once. What is the probability of tossing a head? Solution:  If you tossed a coin once

#### Lim x, Q. lim x tends to 0 (5 tanx sinx upon x square) here ( ) this bracke...

Q. lim x tends to 0 (5 tanx sinx upon x square) here ( ) this bracket indicates greatest integer function Ans: You can calculate the limit of this function using basic concept of

#### Example of graphical technique of linear equations, Explain the Graphical T...

Explain the Graphical Technique of Linear Equations by using this figure.

#### Wavy curve method, more questions on wavy curve method

more questions on wavy curve method

#### What is the new price of the coat, An \$80.00 coat is marked down 20%. It do...

An \$80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat? Find out 20 percent of the original p

#### What is the average temperature on the celsius scale, Peggy's town has an a...

Peggy's town has an average temperature of 23° Fahrenheit in the winter. What is the average temperature on the Celsius scale? If the total amount for both is 80, after that th

#### Finding the center and the radius of a circle, x2+y2 r=12

x2+y2 r=12  