# Tokak

The parallel sides of a trapezium have lenghts 5cm and 8cm..The other two sides have the lenghts 6cm and 4cm..Find the angles of the trapezium?

1. 👍
2. 👎
3. 👁
1. If AB=8 and DC=5, then if the altitude is h,

h = 4sinA = 6sinB

h cotA + 5 + h cotB = 8
4 sinA cotA + 5 + 6 sinB cotB = 8
4cosA + 5 + 6cosB = 8
4cosA + 6cosB = 3

solve for A and B.

Note that D = (90-A)+90 = 180-A
and similarly for C.

1. 👍
2. 👎

## Similar Questions

1. ### math

The parallel sides of a trapezium are 65 m and 40m. non parallel sides are 39m and 56m. find the area of the trapezium.

2. ### Math

John draws a square on a coordinate plane. Then, he draws an image of the square 3 units to the right of the original square. What is true about the corresponding sides of the original figure and the image? A.The corresponding

3. ### Math

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The figure shows two right trapezoids. Trapezoid A B C D has right angles at B and C. Angle B is adjacent to the shorter

4. ### Math

In trapezium PQRS, the sides PQ and SR are parallel. Angle RSP is 120 . and RS = SP = 1/3PQ. What is the size of angle PQR ?

1. ### Math

A rectangle prism has a length of 8 cm with 3 cm and height 5 cm what are the dimensions of the horizontal cross section ? A. 8 cm by 5cm B.8cm by 3cm C. 5cm by 3cm D. 8 cm by 8cm

2. ### maths

A triangle has sides 8cm and 5cm and an angle of 90 degrees between them. Calculate the smallest angle of the triangle.

3. ### Algebra

Which of the following describes a correct method for solving the equation below? -7/2n + 5 = -16 1. add 5 to both sides, then divide both sides by 2/7 2. subtract 5 from both sides, then multiply both sides by -7/2 3. add -5 to

4. ### Math

John draws a square on a coordinate plane. Then, he draws an image of the square 3 units to the right of the original square. What is true about the corresponding sides of the original figure and the image? A. The corresponding

1. ### Math

Which of the following is Not true about a square? A.It has 4 right angles B.It has 4 congruent sides C.It has 4 acute sides D.Opposite sides are parallel C? The table shows the height of 3 different mountains Everest=8850

2. ### math

The perimeter of an isosceles trapezium is 134 cm and the bases are 54 cm and 30 cm in length of the nonparallel sides of the trapezium and its area.

3. ### mathematics

The area of a trapezoid is 240cm2. The height is 20cm and the length of one of the parallel sides is 8cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two

4. ### Mathematics

A four-sides shape with both pairs of opposite sides parallel and equal in length,and with no right angles