As shown in the figure, BD is the diagonal of parallelogram ABCD, AE ⊥ BD is in E, CF ⊥ BD is in F

As shown in the figure, BD is the diagonal of parallelogram ABCD, AE ⊥ BD is in E, CF ⊥ BD is in F


ABCD is a parallelogram
∴AB=CD
AB∥CD
∴∠ABE=∠CDF
∵AE⊥BD,CF⊥BD
∴AE∥CF
∠AEB=∠CFD=90°
∴△AEB≌△CFD
∴AE=CF
The quadrilateral aece is a parallelogram



As shown in the figure, in the parallelogram ABCD, e is the point on BC, be: EC = 2:3. AE intersects BD and F, then s △ ABF: s △ AFD is equal to


∵ parallelogram ABCD
∴∠ADF=∠EBF AD=BC
∵∠AFD=∠EFB
∴△ADF∽△EBF
∴AD/EB=DF/BF=BC/EB=(BE+EC)/EB=5/2
S △ ABF: s △ AFD = BF / DF = 2 / 5 (△ Abf △ AFD high equal)



In the parallelogram ABCD, e is the point on BC, AE intersects BD at point F, if be: EC = 3:1, if s △ FBE = 18, find s △ FDA


It is known that △ bef ∽ DFA
The sides are proportional to the height
The high h of ∧ bef / ∧ DFA = 3 / 4
∴H=4/3h
∵ △ bef = be * h △ 2 = 18 let be = 3A, then the area of △ bef = 3A * h △ 2 = 18
∴ah=12
The area of Δ DFA = ad * h △ 2 = 4A * h △ 2 = 2ah = 2 * 12 = 24



In the parallelogram ABCD, e is a point on BC, AE intersects BD with F, be: EC = 4:1, s triangle bef = 48, find s triangle
Use the second grade method, don't use similar, cos or something


S-triangle bef is similar to s-triangle FDA (equal diagonal and equal position angle)
BE:EC=4:1 BE:AD=4:5
Area ratio = square of similarity ratio
S triangle bef is 4 * 4 / 5 * 5 than s triangle FDA
S triangle bef ratio s triangle FDA = 16 / 25
S triangle FDA = 48 * 25 / 16
=75



The two adjacent sides of a parallelogram are 12 cm and 8 cm respectively. The height of one parallelogram is 10 cm. What is the area of this parallelogram


The area of parallelogram is 8 × 10 = 80 (square centimeter)



A parallelogram, the bottom is 8 cm, the height is 3 cm, and the height is a fraction of the bottom? If the perimeter of a parallelogram is 24 cm, what is its height?


A: the height is 38 of the bottom. If the perimeter of the parallelogram is 24 cm, the height is 18.5 times of the perimeter



A parallelogram, the bottom is 8 cm, the height is 3 cm, and the height is a fraction of the bottom? If the perimeter of a parallelogram is 24 cm, what is its height?


A: the height is 38 of the bottom. If the perimeter of the parallelogram is 24 cm, the height is 18.5 times of the perimeter



The bottom of a parallelogram is eight centimeters high and thirteen centimeters high. If the perimeter of a parallelogram is 24 centimeters, then the height is a fraction of the perimeter


Three eighths of the height is three eighths of the bottom
3 / 24 = 1 / 8 the height is one eighth of the circumference
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The two adjacent sides of a parallelogram are 8 cm and 10 cm, one of which is 9 cm high. The perimeter and area of the parallelogram are


Perimeter: 2x (8 + 10) = 36cm
Area: 8x9 = 72 square centimeters



A rectangle is 8 cm long and 6 cm wide. Pull it into a parallelogram whose circumference is () cm


The perimeter of the parallelogram will not change, so the perimeter is 2x8 + 2x6 = 28