118 Views

what is the area of a rhombus having all sides equal to 8cm each and one pair of angles equal to 60° ?


Prasad 22nd Mar, 2020
Answer (1)
Afrin Hossain 22nd Mar, 2020

Hello

The answer to your question is 32√3cm2

U have to use the following axioms in this problem

The diagonals of a rhombus bisect each others at right angles

Sides corresponding to equal angles of a triamgle are equal(isosceles triangle)

U also have to use Pythagoras theorem

Lets have the rhombus drawan with the equal angles vertically opposite to each other and the diagonals drawn

The length of the horizontal diagonal is equal to the length of the top left side of the rhombus which is equal to 8cm(this is because the angles corresponding to these sides are equal to each other)

The lenght of the half of the vertical diagonal is calculated by applying Pythagoras theorem to the top left side of the rhombus which is equal to 4√3cm

Now area of rhombus equals 1/2*diagonal1*diagonal 2


Hope this helped

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Greater Noida Institute of Te...
Apply
NAAC A+ Accredited | Highest CTC 70 LPA | Average CTC 6.5 LPA | 400+ Recruiters
Vignan's Deemed to be Univers...
Apply
70th University Ranked by NIRF | 80th Engineering Rank by NIRF | Accredited by NBA and NAAC A+
Amity University-Noida BBA Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
UPES B.Tech Admissions 2026
Apply
Last Date to Apply: 28th Feb | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
Mangalmay Group of Institutio...
Apply
NAAC "A" Grade accredited institute
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books