The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a
nswers to the nearest whole number.
1 answer:
Answer:
51°, 129°
Step-by-step explanation:
The ratio of the sides is the tangent of the angle a diagonal makes with the side of the rectangle. The smaller such angle will be
arctan(12.4/26) ≈ 25.5°
The smaller of the angles between the diagonals will be twice this value, or 51°. Its supplement is the larger angle between the diagonals, 129°.
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the length of the side of this square is cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=
a²=32
doing square root on both side
a=±
a=±2*2
Since side of square is always positive so
a=4 or 5.65 cm
