1. ABCD is a parallelogram. If its diagonals are equal then the value of angle ABC is ?
2. The adjacent sides of a rectangle ABCD are 8 cm and 6 cm. If E, F, G, H are the mid-points of the sides of ABCD, then the area of rhombus EFGH is
Answers
Answered by
0
Answer:
2) 12square.cm
Step-by-step explanation:
AB= 8cm
BD= 6cm
CD=8cm
AC= 6cm
EF= 1/2 of AB
FG= 1/2 of BD
GH= 1/2 of CD
HE= 1/2 of AC
Thus area is EF mulitipled by FG= 4 ×3= 12square cm.
Answered by
0
Answer:
1. Either 45° or 90° - angleCBD
2. 24cm^2
Step-by-step explanation:
1. ABCD is a ||gm and its diagonals are equal that means its either a rectangle or square -
In case of a rectangle -> angleABC = 90° - angleCBD
In case of a square -> 45° since the diagonals bisecet angleA, B, C and D.
2. Area of rhombus = Product of diagonals/2
Now, EFGH is rhombus and E, F, G and H are midpoint of AB, BC, CD and DA
=> AC = EG and AB = HF
=> Area = EG × HF /2 = 6×8/2 = 48/2 = 24
(refer to the image)
NOTE: I have taken AB and AC as adjacent.
Attachments:
Similar questions