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2a
Draw the base line that is equal to the given perimeter.
Mark the point of the vertical angle on the base line.
Measure the altitude from the point of the vertical angle and mark the point.
Connect the three points to form a triangle.
b)You are asked to redraw the figure given showing an exhaust pipe
Use four center method in the necessary places
(2aii)
To find the lengths of the other two sides of the triangle, we can use trigonometry. Let’s call one of the unknown sides x. Then we know that:
sin(60°) = x/50, since sin(60°) = opposite/hypotenuse in a right triangle with a 60-degree angle.
Rearranging this equation, we get:
x = 50 sin(60°) = 50 × √3/2 = 25√3.
So one of the unknown sides has a length of 25√3, and the other unknown side has the same length, since the triangle is equilateral.
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