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Refer to a trapezoid KLER with median AS.

A.IFAS = x, KL= 9, and RE=14, what is the value of x?
B. If AS = x + 7, KL = 18, and RE = 22, what is the value of x?
C. Refer to 1. B. What is AS?
d. If RE = 4x + 3 and AS = 3x - 6, what is x?
e. Refer to 1.d. What is KL? ​


Sagot :

a. AS is median

so AS = 1/2 (KL+RE)

AS = x, KL = 9, RE = 14

--> x = 1/2 (9+14) = 11.5

b. x+7 = 1/2 (18+22) --> x+7=20, x = 13

c. AS = x+7 = 20

d. lack of condition

2.

a. RD = 12, DE = RD = 12

b. BR = 10, BE = BR = 10

c. BE = 11 cm, DR = 16 cm

BE = BR = 11 cm, DR = DE = 16 cm

Perimeter = BE +BR + DR + DE

= 11 + 11 + 16 + 16

= 54 cm

d. RD = DE

2x-9 = 3x-16

-9+16 = 3x-2x

x = 7 cm

e. Assume the one is x cm so other is 3x

1/2 (3x*x) = 32

3x^2 = 64

x^2 = 64/3

x = 4.6 cm - shorter diagonal

ty.