Course / Category - Foundation program for SSC

Central Goverment Service

### Avaliable Online Courses for selected Class / Category

Central Goverment Service

Foundation program for SSC

#### Free

Self Learning

Free Topics

Concepts Learning Progress

Available

Course Progess

Self Learning Progress

Report Card

Revision / Exam Preparation

Theory Notes

Question Bank

Subjects Related Concepts

Test Generator

Free Topics

Reports

Available as Required.

VIDEOS

Few Available

Central Goverment Service

Foundation program for SSC

#### ₹8300 ₹2000 + Taxes

Self Learning

Available

Concepts Learning Progress

Available

Test Generator

Syllabus / Topic Test

Solution and Detailed Analysis

Course Progess

Self Learning Progress

Report Card

Revision / Exam Preparation

Theory Notes

Test Generator

Subjects Related Concepts

Self Learning

Videos

Self Learning Exams

Practice

Self Learning - At Own Pace

Reports

Question-wise Analysis

Strong, Moderate and weak Concepts

Remedial Tests for Weak Concepts

Achievements - Month/Subject & Subject / Month

Self Study Detail

Graphical View

Your Rankings - Month / Subject & Subject / Month

VIDEOS

500

SUBJECTS

Maths, English, History, Democratic Politics, Geography, Economics, Verbal Reasoning, Non Verbal Reasoning, General Awareness, Critical Reasoning, Verbal Ability, Vedic Maths

Concept Detail
Maths / Mensuration / Area of Rhombus
(A Brief Glimpse of ABHYAS Content - Have aLook !!!!)

## Area of Rhombus

Rhombus: quadrilateral all of whose sides have the same length.

Area of Rhombus: A rhombus is actually just a special type of parallelogram. The "base times height" method: First pick one side to be the base. Any one will do, they are all the same length. Then determine the altitude - the perpendicular distance from the chosen base to the opposite side. The area is the product of these two, or, as a formula: Area = base x height:.

The "diagonals" method: Another simple formula for the area of a rhombus when you know the lengths of the diagonals. The area is half the product of the diagonals. As a formula: Area =$\frac{1}{2} \times d_1\times d_2$  where, d1 is the length of a diagonal and d2 is the length of the other diagonal

 Example:  Find the area of a rhombus having each side equal to 13 cm  and  one of whose deiagonals is 24 cm.Solution :  Let ABCD be the given parallelogram whose diagonals intersect  at  O. We have,  AB = 13 cm and  AC = 24 cm. Since the diagonals of a rhombus bisect each other at right angles. Therefore, $\dpi{120} \fn_jvn \large \Delta$ AOB is a right triangle, right angled at O such that  $\dpi{120} \fn_jvn \large OA = \frac{1}{2} AC =12 cm$   and AB = 13cm.Using Pythagoras theorem, in $\dpi{120} \fn_jvn \large \Delta$ AOB, we have $\dpi{120} \fn_jvn \large ^{AB^{2}$  =  $\dpi{120} \fn_jvn \large ^{OA^{2}$+ $\dpi{120} \fn_jvn \large ^{OB^{2}$   $\dpi{120} \fn_jvn \large \Rightarrow$ $\dpi{120} \fn_jvn \large ^{13^{2}}$   =  $\dpi{120} \fn_jvn \large ^{12^{2}}$ + $\dpi{120} \fn_jvn \large ^{OB^{2}}$  $\dpi{120} \fn_jvn \large \Rightarrow$ $\dpi{120} \fn_jvn \large ^{OB^{2}}$   =  $\dpi{120} \fn_jvn \large ^{13^{2}}$ - $\dpi{120} \fn_jvn \large ^{12^{2}}$$\dpi{120} \fn_jvn \large \Rightarrow$ $\dpi{120} \fn_jvn \large ^{OB^{2}}$  = 169 - 144 = 25   $\dpi{120} \fn_jvn \large \Rightarrow$ $\dpi{120} \fn_jvn \large ^{OB^{2}}$   =  $\dpi{120} \fn_jvn \large ^{5^{2}}$Hence,  OB = 5 cm  Also, BD = 2 x OB = 10cmHence , Area of rhombus ABCD = $\dpi{120} \fn_jvn \large \frac{1}{2}\times AC\times BD$   $= \frac{1}{2}\times 24\times 10 cm^{2}=120cm^2$

A Brief Look

Course Progress PANEL
Student can view their progress from this panel.
Self Study
Student can learn from Self Study panel. Concept notes and Video will appear their to learn concept. Exam will be held on the basis of concepts learn.
Exam Evaluation PANEL
Detailed Exam Analysis for Offline and online exams will be Available in Student dashboard. Offline exams will be held for in-campus students only.
Class Notes PANEL
Student can view / download Class Notes assigned to them. Request can also be sent for elapsed Notes.
REPORT CARD
Report Card of each student is visble in Student Panel for WISE-FA, WISE-PT, WISE-Testing, Written Exams, Attendance, etc.
STUDENT PANEL
Ranking amongst the students of the class are visible at any time. Students rank will automatically based on the exams given by the students and score.
SELF LEARNING PANEL
Self Learning panel to know topics/concepts read and exams given. Detail analysis provided to students for exams given. Remedial papers will be generated on student choice for Weak Concepts.
TEST GENERATOR
Test generator to generate test for concepts taught and pending.
STUDENT DASHBOARD
To know Online and Offline exams given / pending with graphical view.