Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
58
Step-by-step explanation:
42+4(6-2) =
42+4(4) =
42+16 = <u>58</u>
Answer:
15x+5+22x+4+60=180
37x=180-60-5
37x=115
x=115/37
x=3
angle b
22*3+4=70°
angle c
15*3+5=50°
have a nice day . hope this helps
