GRE Math help » Geometry » plane Geometry » triangle » Equilateral triangle » just how to uncover the perimeter the an it is intended triangle

Find the perimeter that an it is provided triangle through a elevation of

.

You are watching: What is the perimeter of an equilateral triangle whose height is 2√3

Explanation:

Perimeter is discovered by adding up every sides that the triangle. All sides in an equilateral triangle room equal, so we need to uncover the worth of simply one side to know the worths of all sides.

The height of an it is intended triangle divides it right into two equal 30:60:90 triangles, i beg your pardon will have actually side ratios that 1:2:√3. The elevation here is the √3 ratio, which in this case is equivalent to 8, for this reason to gain the length of the other two sides, we placed 8 over √3 (8/√3) and 2 * 8/√3 = 16/√3, i m sorry is the hypotenuse of our 30:60:90 triangle.

The perimeter is climate 3 * 16/√3, or 48/√3.

Report one Error

### Example concern #2 : how To discover The Perimeter the An equilateral Triangle

If the height of an it is provided triangle is

, what is the perimeter?

Explanation:

By having a height in an it is intended triangle, the edge is bisected therefore creating two

triangles.

The height is the contrary the angle

. We have the right to set-up a proportion.

Side opposite

is
and the next of it is intended triangle i m sorry is opposite
is
.

Cross multiply.

Divide both political parties by

Multiply top and also bottom by

Since every side is the same and also there space three sides, we just multply the prize by three to get

Report an Error

### Example concern #3 : just how To uncover The Perimeter that An equilateral Triangle

If area of it is provided triangle is

, what is the perimeter?

Explanation:

The area the an equilateral triangle is

.

So let"s set-up one equation to deal with for

Cross multiply.

The

cancels out and also we get
.

Then take it square root on both sides and also we get

. Since we have three equal sides, we simply multply
by 3 to get

See more: Driving Distance From Palm Springs To San Diego, Ca, How Far Is Palm Springs From San Diego

Report one Error

Tired of exercise problems?

Try live virtual GRE mathematics prep today.

explore Live prepare
1-on-1 Tutoring
Live Online course
1-on-1 + class

### All GRE Math resources

13 Diagnostic test 452 practice Tests question of the job Flashcards learn by principle
Popular Subjects
Physics Tutors in Dallas ft Worth, Chemistry Tutors in Philadelphia, Spanish Tutors in Dallas ft Worth, action Tutors in Miami, English Tutors in Philadelphia, computer system Science Tutors in Houston, Physics Tutors in mountain Diego, mathematics Tutors in Miami, MCAT Tutors in new York City, MCAT Tutors in Los Angeles
Popular courses & Classes
GRE courses & classes in Los Angeles, ACT process & great in Denver, GMAT courses & classes in Seattle, Spanish courses & class in Chicago, SSAT process & class in Washington DC, SSAT courses & classes in Seattle, SAT courses & great in mountain Francisco-Bay Area, GRE process & class in Chicago, GRE courses & classes in Phoenix, ISEE courses & class in Chicago
Popular check Prep
MCAT test Prep in Houston, MCAT check Prep in Miami, MCAT test Prep in Denver, satellite Test prepare in san Francisco-Bay Area, SSAT check Prep in Seattle, satellite Test prep in Miami, SSAT check Prep in Los Angeles, SSAT test Prep in Miami, GRE check Prep in Philadelphia, GMAT test Prep in Seattle
Report an concern with this concern

If you"ve uncovered an worry with this question, please let us know. Through the help of the neighborhood we can continue to boost our education resources.

Do not fill in this field
* her Name:
* issue Description:
DMCA complaint

her Infringement an alert may it is in forwarded to the party the made the content obtainable or to 3rd parties such as ChillingEffects.org.