Arts & Humanities
Beauty & Style
Business & Finance
Cars & Transportation
Computers & Internet
Consumer Electronics
Dining Out
Education & Reference
Entertainment & Music
Environment
Family & Relationships
Food & Drink
Games & Recreation
Health
Home & Garden
Local Businesses
News & Events
Pets
Politics & Government
Pregnancy & Parenting
Science & Mathematics
Social Science
Society & Culture
Sports
Travel
Yahoo Products

14 years ago

How to find the area of a rhombus with just the diagonals.
There is a rhombus and the diagonals are intersecing each other forming 4 triangles and there are 2 length with 9m,and 2 with 10.5m.
I just want to know how to solve that.
There's no measurement outside the rhombus, just the measurement for the diagonals.
If you could be so kind to explain this.

Top 3 Answers

14 years ago

Favorite Answer
9 * 10.5 = 94.5 sq m
This is the area of a rectangle formed by the two diagonals,
which is the same as length times width. But the rhombus is the diamond shape just inside the rectangle.
So the area of the rhombus is really 1/2 of the rectangle.
Area = 0.5 * 94.5
= 47.25 sq m

0

14 years ago

by definition of a rhombus, the area is given by
1/2 (diagonal1 x diagonal2).
but if you dont want that formula...consider the 2 bigger triangles formed, not 4. the two intersecting lines of a rhombus is perpendicular to each other. knowing the area of triangle, 1/2 BH, the area of 1 triangle is 1/2 x 10.5 x 4.5.
take it from here..

0

14 years ago

The diagonals of a rhombus bisect each other at right angles, so you have four right angled triangles in which you know the base and the vertical height...
Hope this helps, Twiggy.

0

does anyone see this in the mirror ?When I forward an email - the image does not display.?Was I being unreasonable or was my husband being insensitive?Recycle heat from laundry room into upstairs of my house?Poll:What would you do if...Whats wrong with my stomach?Can a new employer who hires you&your old boss ask for information from your previous employment?Why some people get reactions when they take medicines containing sulphide compounds?What does the book of revelations say?can someone please convert 30 ft per min to ft^3 per min. or CFM? I'm not sure how to do it. thanks?