SOLUTION: in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM find the area of the parallelogram given diagonal AC is at right angle to AB i.e.tria

Question 459618: in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM find the area of the parallelogram

given diagonal AC is at right angle to AB i.e.triangle ABC is a right angled triangle
now applying Pythagorean theorem
BC^2=AC^2+AB^2
given AB=12 cm and AC=13 cm
hence AC^2=BC^2-AB^2
AC^2=169-144=25
therefore AC=5 cm
now area of parallelogram ABCD=2*area of triangle ABC
since we know that area of right angle triangle=1/2 *base *altitude
so area of triangle ABC=1/2*12*5=30 sq cm
and hence area of parallelogram is 60 sq cm
Answer by pallavi(12) (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS
ABCD is a parallelogram. AB=8 BC=10 and diagonal AC=13. determine the measure of angle... (answered by Edwin McCravy)

Q1) PQRS is a rectangle in which PQ = 9 cm and PS = 6 cm. T is a point on PQ such that... (answered by AnlytcPhil)

In parallelogram ABCD, AB = 13, AD = 14, and the length of diagonal AC is 15. What is the (answered by ikleyn)

In the figure ABCD is a rectangle with AB=12cm and BC=7 cm. Inside ABCD there is another... (answered by venugopalramana)

Find the area of a parallelogram ABCD given AB=12cm, AD=20cm, and angle A=30 degrees.... (answered by ikleyn)

triangle abc has a right angle at B. AB=9cm. BC=12cm find the length of... (answered by stanbon,jojo14344)

In parallelogram ABCD, AB=125cm, AD=132cm, and the length of diagonal AC is 37cm. The... (answered by ikleyn,MathLover1,greenestamps)

In rectangle ABCD, side AB=6, side BC=9, and diagonal AC is drawn. Find angle CAD to the... (answered by scott8148)