Draw a triangle of sides 3, 4 and 6cm. Draw 3 different right triangle of the same area?
Answers
Step-by-step explanation:
Three sides will form a triangle, if sum of any 2 sides > third side. For e.g. 1, 1, 5 will not form a triangle as 1 + 1 =2 > 5. But 3, 4, 6 will form a triangle.
Take 2 sticks of lengths 3 and 4, and join them at one end. Change the angle between them such the distance between other ends is 6.
The maximum distance between other ends is 7 (3+4, when angle is 180 degrees).
Area of right triangle =\frac { 1 }{ 2 } \times base\times height21×base×height Assuming angle between base and height is 90 degrees. There can be infinite right triangles for a given area.
Consider Area = 8
Case 1: Base = 4 & height = 4
Case 2: Base = 8 & height = 2
Case 3: Base= 16 & height= 1
Other cases are 2, 8 or 1, 16 or 80, 0.2
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