Construct a triangle ABC, in which BC = 10 cm angle B = 45 ° and AB - AC = 5 cm. Give justification.
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14
Step-by-step explanation:
1.Draw base BC of length 10 cm
2.Now, let's draw ∠B=45
∘
.Let the ray be BX
3.Open the compass to length AB−AC= 5cm.
Since AB−AC=5cm is positive.
So, BD will be above line BC
From point B as center, cut an arc on ray BX.
Let the arc intersect BX at D
4.Join CD
5.Now, we will draw perpendicular bisector of CD
6.Mark point A where perpendicular bisector intersects BD
7.Join AC
Result:∴△ABC is the required triangle
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Step-by-step explanation:
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