Trigonometric Worksheet No. 1

Problem:

Two rectangles are joined to form a compound shape. The two triangles have the same perimeter.

a. Work out the perimeter of the compound shape.

b. Work out the length of the diagonal marked.

Guidelines:

1. First give the names to every point.

2. Label every side.

3. Find the values of unknown sides.

4. Put the formula to find perimeter and find it's value.

5. Put the formula to find diagonal and find it's value.

Solution:

1. Naming the points:

2. Labelling every side:

3. Finding values of unknown sides:

    

4. Finding perimeter:

5. Considering the red part as the triangle and finding hypotenuse to find the diagonal:

To solve it further you should review the topic of quadratic equation and iota formation from the equation.

Practice Problems:

Practice Problem No. 1:

Practice Problem No. 2:

Practice Problem No. 3:

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