1. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area $$(in cm^2)$$ of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?





Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

  • By: anil on 05 May 2019 01.48 am
    Let bigger diagonal of rhombus = BD = $$2x$$ cm and smaller diagonal = AC = 6 cm
    Diagonals of a rhombus bisect each other at right angle. => OC = 3 cm and OD = $$x$$ cm In $$ riangle$$ OCD, => $$(OD)^2=(CD)^2-(OC)^2$$ => $$(OD)^2=(6)^2-(3)^2$$ => $$(OD)^2=36-9=27$$ => $$OD=sqrt{27}=3sqrt3$$ cm Thus, side of equilateral triangle = bigger diagonal = $$2 imes3sqrt3=6sqrt3$$ cm $$ herefore$$ Area of equilateral triangle = $$frac{sqrt3}{4}a^2$$ = $$frac{sqrt3}{4} imes(6sqrt3)^2$$ = $$frac{sqrt3}{4} imes108=27sqrt3$$ $$cm^2$$ => Ans - (B)
Tags
Show Similar Question And Answers
QA->In a triangle when two adjacent sides a & b and their included angle "C" are given in then its area will be:....
QA->Prime Minister Narendra Modi launched a new scheme on April 27, 2017 to boost air travel between smaller cities by making flights far more affordable for "tier 2" and smaller towns. What is the name of that scheme?....
QA->There are 50 students in a class. In a class test 22 students get 25 marks each, 18 students get 30 marks each. Each of the remaining gets 16 marks. The average mark of the whole class is :....
QA->Hari’s house is bigger than ____....
QA->How many times the sun is bigger than the earth?....
MCQ->Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area $$(in cm^2)$$ of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?....
MCQ->Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area $$(in cm^2)$$ of an equilateral triangle with side equal to the bigger diagonal of the rhombus?....
MCQ-> Directions : Read the following information carefully and answer the questions which follow:Small brands are now looking beyond local grocery stores and are tying up with Supermarkets such as Big Bazaar to pull their business out of troubled waters.Directions : These questions are based on the information given above and the sentences labelled A, B, C, D, E and F as given below: A) A smaller brand manufacturing a certain product of quality comparable with that of a bigger brand, makes much more profit from the local grocery stores than from the supermarkets. B) As the supermarkets have been set up only in bigger cities at present, this step would fail to deliver results in the smaller cities. C) Supermarkets help the smaller brands to break into newer markets without investing substantially in distribution. D) Supermarkets charge the smaller brands 10% higher than the amount charged to the bigger brands. E) Being outnumbered by the bigger brands, visibility of the smaller brands at local grocery stores is much lower as compared to the supermarkets. F) Smaller brands are currently making substantial losses in their businesses.Which of the following can be inferred from the given information? (An inference is something that is not directly stated but can be inferred from the given information.)
 ....
MCQ->$$\triangle$$ABC and $$\triangle$$XYZ are equilateral triangles of 54 cm sides. All smaller triangles like $$\triangle$$ANM, $$\triangle$$OCP, $$\triangle$$QPX etc. are also equilateral triangles. Find the area of the shape MNOPQRM. ....
MCQ->The side of an equilateral triangle is equal to the diagonal of the square. If the side of the square is 10 cm, then what is the area of the equilateral triangle?....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions