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Anonymous

last math question…?

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 =)))

Top 9 Answers
ronjo

Favorite Answer

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)

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Northstar
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

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4 years ago
?
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.
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raj
60cm

ab^2 = 144

bc^2 =169

169 – 144 =25

sqrt of 25 = 5

AC = 5

AB = 12

5*12 = 60

Area = 60cm

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d_champz_here
60cm

ab^2 = 144

bc^2 =169

169 – 144 =25

sqrt of 25 = 5

AC = 5

AB = 12

5*12 = 60

Area = 60cm

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Keith
60cm

ab^2 = 144

bc^2 =169

169 – 144 =25

sqrt of 25 = 5

AC = 5

AB = 12

5*12 = 60

Area = 60cm

0

Jesus freak!
simple! just multiply 12 by 13!
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chewy101
I think you can do Area equals .5 base times height cosine(90),then multiply by four i think
0

simplicity
i think the answer is 60cm..
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