Diagonals:

The much longer diagonal the a kite is called the key diagonal and the much shorter one is referred to as the overcome diagonal. The main diagonal that a dragon is the perpendicular bisector that the cross diagonal.

You are watching: The diagonals of a kite are perpendicular bisectors of each other

That is, here the diagonal line BD¯ perpendicularly bisects the diagonal line AC¯.

*


Example 1:

*

In kite PQRS, QS is the main diagonal. If PR=10 units and also QO=4units what is the length PQ?

Here, QS is the perpendicular bisector that PR. Then, m∠QOP=90° and also PO=12PR=RO.

PO=12(10)

        =5

ΔPOQ is a best triangle, PO=5 units, QO=4 units. Usage the Pythagorean theorem to find the size of the hypotenuse.

PQ=(PO)2+(QO)2

         =52+42

         =25+16

         =41


The opposite angle at the ends of the cross diagonal space congruent.

That is, ∠BAD≅∠BCD.

*

Area:

The area of a dragon is half the product that the lengths of the diagonals.

that is, if the lengths of the diagonals of a kite room d1 and also d2 respectively, then area A of the dragon is provided by the formula:

A=12d1⋅d2


Example 2:

In kite LMNO, the length of the main diagonal MO is 12 units and also that the the overcome diagonal LN is 5 units. What is the area that the dragon LMNO?

A=12(MO)(LN)

    =12(12)(5)

    =12(60)

    =30

Therefore, the area that the kite LMNO is 30 square units.


Stochastic Modeling Tutors CHSPE process & great CCNP - Cisco Certified Network skilled Training agree Tools software Tutors Arizona Bar Exam courses & class SAT topic Test in French test Prep CAPM - Certified associate in Project administration Test prep Arizona Bar exam Test prepare Wisconsin Bar exam Test Prep south Carolina Bar test Test prepare Jazz Tutors typical Law Tutors series 4 courses & class 12th great Homework Tutors collection 26 test Prep Phenomenology Tutors AIS - combine in Insurance solutions Tutors Maryland Bar test Test prep Orthoptics Tutors AANP - American combination of Nurse Practitioners check Prep
Popular Cities
Miami Tutoring Denver Tutoring Oklahoma City Tutoring Tampa Tutoring Raleigh-Durham Tutoring Dayton Tutoring Memphis Tutoring Buffalo Tutoring Orlando Tutoring Ann Arbor Tutoring
Popular Subjects
plot Tutors in Houston LSAT Tutors in Denver Algebra Tutors in Dallas fort Worth LSAT Tutors in Dallas fort Worth English Tutors in brand-new York City mathematics Tutors in Chicago LSAT Tutors in Chicago Algebra Tutors in Washington DC GRE Tutors in Philadelphia reading Tutors in Phoenix

Download our totally free learning devices apps and also test prep books


Show More


Varsity Tutors
Our Company
Free Resources
Top Subjects
Top Locations
Show legit DisclaimerHide legal DisclaimerPrivacy PolicyTerms that UseSitemapSign In

Names of standardization tests room owned by the trademark holders and also are no affiliated through Varsity Tutors LLC.

*See finish details for better Score Guarantee.

Media outlet trademarks are owned by the particular media outlets and also are not affiliated through Varsity Tutors.

Award-Winning claim based upon CBS Local and also Houston push awards.

Varsity Tutors go not have affiliation with universities mentioned on the website.

See more: How To Adjust Governor On International Truck, Simple Method For Bypassing Top Speed Limiter

Varsity Tutors connects learners through experts. Instructors are independent builders who continue their solutions to each client, utilizing their own style,methods and also materials.