# maths

posted by .

A rectangle has sides 170mm and 130mm.What is the angle between the diagonals?

• maths -

look at triangle of altitude (13/2) = 6.5 and base (17/2) = 8.5
x = half of angle between diagonals.
tan x = 8.5/6.5
x = 52.6
2x = big angle between diagonals = 105.3 degrees

small angle between diagonals = 180 - 105.3 = 74.8 degrees

## Similar Questions

1. ### math

What polygon has 20 diagonals?I don't know how to figur this out. THANKS!!!! A rectangle (4 sides) has 2 diagonals. A hexagon (6 sides) has 3 diagonals. An octagon (8 sides) has 4 diagonals. A _____ (20 sides) has 20 diagonals.
2. ### Geometry

I had to fill out a chart stating the properties of certine shapes(parallelograms). Some of them i put to many properties please tell me witch ones i have wrong. The properties to select from: 1-Opposite sides are parallel (both pair) …
3. ### Geometry

The diagonals of rectangle ABCD are AC and BD. Hallie found that the distances from the point where the diagonals intersects to each vertex were the same. Which of the following conjectures could she make?
4. ### Math

Please let me know if I am right on these. Mystery #1. 1. The mystery shape has fewer than 3 lines of symmetry. 2. It has at least 1 pair of perpendicular sides. 3. It has at least 1 pair of parallel sides. 4. It has less than 1 obtuse …
5. ### math

One side of the rectangle lies along the line 4x+7y+5=0 , two of its vertices are (-3,1)and (1,1). find (i) the equations of the other three sides. (ii) the angle between the two diagonals of the rectangle . (iii) the area of the rectangle.
6. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right angle …
7. ### maths: plzz help

(a) A polygon with n sides has a total of 1/p*n(n-q) diagonals, where p and q are integers. (i) find thhe value of p and q (ii) find the total number of diagonals in a polygon with 100 sides (iii) find the number of sides of a polygon …
8. ### Math

A rectangle has sides 170mm and 130mm.What is the angle between the diagonals?
9. ### math

the diagonals of a rectangle are 25cm long and intersect at an angle of 32 degrees. Find the length of the sides of the rectangle.
10. ### Geometry

The parallelogram has the angle measuers shown. Can you conclude that it is a rhombus, a rectangle, or a square?

More Similar Questions