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ABC Is an isosceles triangle having AB = BC = 10 cm ∠ABC = 30 °. Calculate the area of ΔABC. |
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Answer» -First draw a line segment AB of 10 cm. Next, TAKE a protractor and keep it's mid-point on the point B and draw a ray measuring 30°.Then, take a COMPASS and measure it as 10 cm and cut an arc on the ray drawn. Then, join the point A where the ray and the arc meets. The point where the arc and the ray meets is named as point C. Finally, the triangle is constructed. Instruments used :-Ruler :- Ruler is used to draw the line segments of accurate measurements. The lines should also be straight.Protractor :- Protractor is used to draw the ray of accurate degrees or measurements. It is also used to measure the angles.Compàss :- Compàss is used to draw the arc on the ray by taking measurement. Here, it's used to draw the arc of 10 cm on the ray. Area of the triangle :-CD/BC = sin30°CD/BC = (1/2) First, FIND the height of the triangleCD = ½ BCCD = ½ 10CD = 5 cm The area of the triangle is 25 cm². |
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