We can construct a triangle when two of its sides and the included angle are given. true or false
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It is true that, we can construct a triangle when two of its sides and the included angle are given.
- First of all, we have to draw any one of the two given sides. Let, first side = AB
- Then from first endpoint (A) of the first side (AB) we have to draw the given angle, (let the angle = XAB). The vertex (A) of the angle should coincide with that endpoint (A) of the first side (AB). (while constructing the angle, we should keep the length of arm XA more than the length of the second given side of the triangle)
- Now, the formed angle will have two arms, one of them is the first side of the triangle (AB). On the other arm (XA) of that angle, we need to mark a length (starting from the vertex A of the previously formed angle) equal to the length of the second side of the triangle. This marked length will have two endpoints, one is A and let, another endpoint be C. This AC will be the second side of the triangle.
- The second endpoint (C) of the second side (AC) of the triangle should be joined with the second endpoint (B) of the first side (AB), to form a straight line BC.
- Thus, the triangle (∆ABC) will be formed. Here, AB = First given side, BC = second given side , Angle CAB = the given angle.
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