6 CASE STUDY-2 14 During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral She asks following questions from the students: 1. Student formed a rectangle with these sticks. What is the length of the diagonal of the rectangle formed by the student? 2. How many types of quadrilaterals can be possible? a
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The formula to calculate the number of diagonal of an n-sided polygon = n(n-3)/2 where n is the number of sides of the polygon. You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
So:
6² + 4²
36 + 16
= 52
Hope that helps. :)
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Answer:
1. All the angles of a rectangle are right angle.
So, diagonal of the rectangle divides it into two right angled triangles
6² + 4² = l²
36 + 16 = l²
l² = 52
l = 2√13 cm
2. 3 types
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