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Draw an isosceles triangle with each of equal sides of length \[3 cm\] and the angle between them as \[45^{o}\].

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Last updated date: 28th Mar 2024
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MVSAT 2024
Answer
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Hint: In this question, we need to draw an isosceles triangle with each of equal sides of length \[3 cm\] and also given the angle between them as \[45^{o}\]. Here we will use the concept of the construction of triangles .We will construct the required triangle by using the given details in the question. Using a ruler and scale , we can construct an isosceles triangle . First, we can draw the base of the triangle. Then by using the compass, we need to mark the angle \[45^{o}\] above the baseline. Then we need to make an arc of length \[3 cm\]. Then finally we need to join the arc with the baseline. Using this we get our required triangle.

Complete step-by-step answer:
Here we need to draw an isosceles triangle with each of equal sides of length \[3 cm\].
First, we can draw the base of the triangle of length \[3 cm\] and we can name it as AB.
Then we need to draw an angle of \[45^{o}\] by using a compass with point B as centre and produce it to ray X .
Then with B as centre, we need to draw an arc of \[3 cm\] which intersects ray BY at C.
Finally, we need to join AC .
Thus we have constructed an isosceles triangle.
Final answer :

                                
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Thus we get our required triangle

Note: In order to solve these types of questions, the main thing that we need to remember is the steps of constructions . We should not get confused about drawing the ray X with the bases of the triangle. Even if we make the ray by taking A , then also our triangle would be the same. So we need not get confused with the ray of the triangle. We should also be careful while marking the arc of the triangle.