SOLUTION: The sides of a parellelogram are 4 cm and 3 cm.If the altitude corresponding to the base 4cm is 1.8 cm , what will be the length of the altitude corresponding to the base 3cm.

Algebra ->  Parallelograms -> SOLUTION: The sides of a parellelogram are 4 cm and 3 cm.If the altitude corresponding to the base 4cm is 1.8 cm , what will be the length of the altitude corresponding to the base 3cm.      Log On


   

Question 947885: The sides of a parellelogram are 4 cm and 3 cm.If the altitude corresponding to the base 4cm is 1.8 cm , what will be the length of the altitude corresponding to the base 3cm.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Left side and right side each 3 cm.
Top and bottom side each 4 cm.

Angle alpha is the upper right as well as the lower left angle of the parallelogram. Show the altitude from the vertex at lower right, to the upper base, meeting perpendicularly. This forms a right triangle on the right side of the figure.

sin%28alpha%29=1.8%2F3
sin%28alpha%29=3%2F5

Draw the other altitude, from the same lower right vertex to the left side meeting perpendicularly. This forms another right triangle at the bottom of the figure, with one sidc 4 cm and the angle at the lower left of this figure, part of the triangle, is also alpha. YOU WANT TO KNOW or FIND THE OTHER LEG, which is the same as that altitude. The hypotenuse is 4 cm. Think carefully about this triangle. Call this altitude and leg, a.

a=4%2Asin%28alpha%29
a=4%2A%283%2F5%29
a=12%2F5
highlight%28a=2%262%2F5%29.