SOLUTION: Quadrilateral ABCD is in the shape of a kite. AB and AD are both 2 feet. BC and BC are both 3 feet. There is a line from A to C and another line from B to D. AC is 4 feet. What is

Algebra ->  Triangles -> SOLUTION: Quadrilateral ABCD is in the shape of a kite. AB and AD are both 2 feet. BC and BC are both 3 feet. There is a line from A to C and another line from B to D. AC is 4 feet. What is       Log On


   

Question 70570: Quadrilateral ABCD is in the shape of a kite. AB and AD are both 2 feet. BC and BC are both 3 feet. There is a line from A to C and another line from B to D. AC is 4 feet. What is the measure of the angle the 2-foot edge makes with the 3-foot edge?
Answer by venugopalramana(3286) About Me  (Show Source):
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Quadrilateral ABCD is in the shape of a kite. AB and AD are both 2 feet. BC and BC are both 3 feet. There is a line from A to C and another line from B to D. AC is 4 feet. What is the measure of the angle the 2-foot edge makes with the 3-foot edge?
AB=AD=2
BC=BD=3
AC=4
TO FIND ANGLE ABC=X SAY
IN TRIANGLE ABC
AC^2=AB^2+BC^2-2AB*BC*COS[X]
COS(X)=[4^2-2^2-3^2]/[2*2*3]=3/12=1/4
X=ANGLE ABC= 75.5 DEGREES