Construct a square of 9 cm and construct a triangle ADE of area equal to the area of this square ABCD. Which of the following illustrates the construction involved.
Construct a square of 9 cm and construct a triangle ADE of area equal to the area of this square ABCD. Which of the following illustrates the construction involved.
The correct option is A
Construction of the square:
(1) Draw a line segment AB = 9 cm
(2) Draw ∠BAX=90∘ at A of AB
(3) Cut the part AD from the side AX equal to 9 cm.
(4) Draw two arcs on the interior region of ∠BAD, one with centre B and the other with centre D and both with the radius 9 cm. Let these 2 arcs intersect each other at C.
(5) Join BC and DC.
Construction of the required triangle:
(1) Draw the diagonal DB
(2) Draw CG through C parallel to DB
(3) Produce AB, which intersects CG at E
(4) Join D and E.
Then ΔADE is the required triangle.
The figure above is the illustration of the above mentioned construction.
Construction of the square:
(1) Draw a line segment AB = 9 cm
(2) Draw ∠BAX=90∘ at A of AB
(3) Cut the part AD from the side AX equal to 9 cm.
(4) Draw two arcs on the interior region of ∠BAD, one with centre B and the other with centre D and both with the radius 9 cm. Let these 2 arcs intersect each other at C.
(5) Join BC and DC.
Construction of the required triangle:
(1) Draw the diagonal DB
(2) Draw CG through C parallel to DB
(3) Produce AB, which intersects CG at E
(4) Join D and E.
Then ΔADE is the required triangle.
The figure above is the illustration of the above mentioned construction.
