Constructions T...

The orthocentere of an obtuse triangle lies ___________.

With the help of a ruler and compass. It is possible to construct an angle of _____.

The construction of a triangle ABC in which AB = 2.5 cm, ∠A = 45⁰ is not possible when difference of BC and AC is equal to ______.

The construction of △ABC, given that BC = 5 cm, ∠B = 45⁰ is not possible when difference of AB and AC is equal to __________.

The construction of a △ABC, given that BC = 4 cm, ∠C = 60⁰ is possible when difference of AB and AC is equal to

To construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. We draw line segment AB of 12 cm. Draw a ray AX making 90⁰ with AB. The next step is:

By following these steps of construction,
(i) Draw a line segment PQ = 11 cm
(ii) At P construct an angle of 60⁰ and at Q, an angle of 45⁰,
(iii) Bisect these angles. Let the bisectors of these angles intersect at a point A.
(iv) Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C.
(v). Join AB and AC. △ABC has been obtained. In this △ABC,