kayys... here's my last math qn... so help me solve this by pythagoras theorm....
In a parallelogram ABCD, the diagonal AC is at right angles to AB. If AB=12 cm and BC=13 cm, find the area of the parallelogram.
thnx =)))
2007-07-09 20:54:11 · 9 answers · asked by Anonymous in Education & Reference ➔ Homework Help
solve for AC first then to find the area multiply AC byAB.
by phytagorean theorem:
BC^2 = AB^2 + AC^2
AC^2 = BC^2 - AB^2
AC = sqrt(BC^2 - AB^2)
2007-07-09 21:15:31 · answer #1 · answered by ronjo 2 · 0⤊ 0⤋
The diagonal AC divides the parallelogram into two congruent right triangles--CAB and ACD.
CAB is a right triangle with BC the hypotenuse.
(AC)² = (BC)² - (AB)² = 13² - 12² = 169 - 144 = 25
AC = 5
Calculate the area of triangle CAB.
Area = ½bh = ½*AC*AB = ½*5*12 = 30
Triangle ACD is congruent to triangle CAB so the area of the parallelogram ABCD is:
2*30 = 60 cm²
2007-07-09 22:09:25 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋
enable the width be x metre. Then length is x + 4 section is x (x + 4) squarem. = x^2 + 4x = 77 = x^2 + 4x - 77 = 0 x^2 +11x - 7x - 77 = 0 x(x + 11) - 7( x-11) = 0 (x+11) (x - 7) = 0 x = -11 or 117. -11 isn't perfect contained interior the on the spot case. as a result x = 7 as a result the width is 7 and length is 11m.
2016-11-08 21:31:22 · answer #3 · answered by ? 4 · 0⤊ 0⤋
60cm
ab^2 = 144
bc^2 =169
169 - 144 =25
sqrt of 25 = 5
AC = 5
AB = 12
5*12 = 60
Area = 60cm
2007-07-09 23:32:27 · answer #4 · answered by raj 2 · 0⤊ 0⤋
60cm
ab^2 = 144
bc^2 =169
169 - 144 =25
sqrt of 25 = 5
AC = 5
AB = 12
5*12 = 60
Area = 60cm
2007-07-09 22:43:31 · answer #5 · answered by d_champz_here 2 · 0⤊ 0⤋
60cm
ab^2 = 144
bc^2 =169
169 - 144 =25
sqrt of 25 = 5
AC = 5
AB = 12
5*12 = 60
Area = 60cm
2007-07-09 21:08:12 · answer #6 · answered by Keith 6 · 0⤊ 0⤋
simple! just multiply 12 by 13!
2007-07-10 10:29:55 · answer #7 · answered by Jesus freak! 2 · 0⤊ 0⤋
I think you can do Area equals .5 base times height cosine(90),then multiply by four i think
2007-07-09 21:03:59 · answer #8 · answered by chewy101 2 · 0⤊ 1⤋
i think the answer is 60cm..
2007-07-15 22:26:26 · answer #9 · answered by simplicity 1 · 0⤊ 0⤋