Question

construct an equilateral triangle having an attitude of 5cm
​

Answer 1

Answer:

We know that in an equilateral triangle, all angles are equal to =60

0

and the altitude bisects the opposite angle.

Hence, follow the steps given below to construct the triangle.

1. Draw a line PQ and mark a point D on it.

2. Construct a perpendicular of length DA=5cm to PQ at point D

3. Construct ∠DAR=

2

60

0

=30

0

to intersect PQ at B

4. Measure BD and cut off an arc on PQ of same distance DC on the other side of D

5. Join A to C

6. ABC is the required equilateral triangle.

On measuring the length of the sides, we get side length as 5.8 cm

∴ Area of triangle =

2

1

×5.8×5=14.5 cm

2

Step-by-step explanation:

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