Construct a parallelogram ABCD in which AB = 6.5cm, AC = 3.4cm and the altitude AL from A is
2.5cm, Draw the altitude from C and measure it. Whoever answer it I will make as brainlis( correct answer only)
Answers
Answer:
It will also be equal to 2.5cm.
Step-by-step explanation:
Draw a parallelogram ABCD such that AB=6.5cm,AC=3.4cm and draw altitudes from A and and C respectively in which AL is equal to 2.5cm.
Given:
AB=6.5cm
AC=3.4cm and AC is the diagonal.
AL and CM are altitudes of triangles ACD and ACB.
Find:
The measure of altitude CM???
Solution:
In triangle ACD and CAB:
AB=CD (Opposite sides of //grm are
equal).
Angle CDA = CBA (Opposite angles of //grm are
equal).
AD=BC(Opposite sides of //grm are
equal).
So, triangles ACD are CAB congruent to each other by SAS congruency criterian and so there altitudes(height) will be equal or identical.
CM=2.5cm.
Step-by-step explanation:
AB= 6.5cm
AC= 3.4cm
AL= 2.5cm
In the given scenario, construction of parallelogram is not possible. So, finding the altitude from D.
length of the perpendicular from A on DC= AL
=2.5cm
Perpendicular distance between two parallel sides is same.
Therefore, length of the perpendicular from D on AB =DM=2.5cm.
Hope It Helps You
