answer with solution please.
2007-02-18 20:07:16 · 7 answers · asked by quack 3 in Science & Mathematics ➔ Mathematics
Since everybody have approached the answer with differently, i am using trigonometry.for all three methodes,pl. visit::
http://www.mathopenref.com/rhombusarea.html
Calculation:
All sides of a rhombus are equal.
diagonal intersects eachother at right angles.so there are 4 right angled triangles.
Let us consider top right triangle having adjecent side 24/2 cm and hypoteneous 13 cm.
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/____ /
here,draw 2 diagonals and take right side top triangle
so, cos theta=adjacent side/hypoteneous
cos theta=12/13
theta=22.62
now, sin theta=opposite side/hypoteneous
sin 22.62=opposite side/13
opposite side=13*0.3846
opposite side=5.0 cm
now,
2*opposite side=Diagonal no. 2(pl. refer diagram)
2*5=Diagonal no. 2(pl. refer diagram)
Diagonal no. 2(pl. refer diagram)=10cm.
now,
Area of a rhombus
=1/2*d1*d2
=1/2*10*24
=1/2*240
=120 cm^2
2007-02-18 21:22:58 · answer #1 · answered by Anonymous · 3⤊ 1⤋
Diagonals = 24 and d
s = side = 13
A = area
A = 24d/2 = 12d
The bisectors of a rhombus bisect each other perpendicularly. By the Pythagorean Theorem
13² - (24/2)² = (d/2)²
169 - 144 = (d/2)²
25 = (d/2)²
5 = d/2
10 = d
A = 12d = 12(10) = 120
2007-02-18 20:30:10 · answer #2 · answered by Northstar 7 · 1⤊ 1⤋
side=13cms
therefore, all sides= 13 cms
diagonal=24
midpoint of the diagonal is at 24/2 = 12
use pythagoras theorem
12 square+[ ] square= 13 square
144+[ ] = 169
[]= 169-144square root
=sq. root of 25
=5
one diagonal is 5+5=10
another diagonal=24
area of a rhombus is 1/2 d1 d2
=1/2x 24x 10
120sq.cms
2007-02-18 20:37:26 · answer #3 · answered by Deranged Soul.. 2 · 0⤊ 1⤋
1st:one side is 13 so all side become: same.{property of rhombus}
13cm=all sides
The Formula for finding out the area of a rhombus = ½ *d1*d2
Here d1 and d2 are the two diagonals of the rhombus.
if we take rhombus as ABCD then and the midpoint of the intersecting diagonals as E then triangle = ABE is a Right Angle triangle .and by hypotenuse method :>
d1=AC and d2=BD
Diangol is bisected so =12cm
(13)square - (12)square=169-144=(25)root=5cm =>D2=10cm
therefore Area =½*24*10=120cm2
2007-02-18 20:22:59 · answer #4 · answered by Zacky 2 · 1⤊ 1⤋
Giovanna is correct... Google is a great tool...
2007-02-18 20:20:56 · answer #5 · answered by ESAVVY1 2 · 0⤊ 1⤋
The answer is -4,000,000,000,000
2007-02-18 20:10:03 · answer #6 · answered by Giovanna M 1 · 0⤊ 3⤋
____________________________OK, I HAVE THE ANSWER... YOU TELL ME WHAT YOU GOT AND I'LL TELL YOU IF YOU ARE RIGHT! LOL________________________________________________________________________________________________
2007-02-22 11:20:38 · answer #7 · answered by Anonymous · 1⤊ 0⤋