construct an isoceles triangle,given its base and base angle and justify the construction
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Q. 4
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Construct an isosceles triangle, given its base and base angle and justify the construction.
[Hint: You can take any measure of side and angle]
AP- Mathematics
13. Geometrical Constructions
Answer
Let us assume the base to be 5.5cm and base angle to be 50°
∴, AB = 5.5 cm and ∠B = 50°
We know that,
In an isosceles triangle, opposite sides are equal and opposite angles are equal.
So, ∠B = ∠A = 50°
and AC = BC
Steps of construction:
Step 1: Draw base AB = 5.5cm.
Step 2: At vertex B, Draw a ray constructing angle of 50°.
Step 3: Now draw another ray at A constructing an angle of 50°
Step 4: Mark the point of intersection as C.
ABC is the required triangle.
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