In triangle ABC, altitude BE = altitude CF. Then triangle ABC is
To construct a ΔABC in which BC = 10 cm and ∠B= 60 degrees and AB + AC = 14 cm, then the length of BD used for construction.
Which of these triangles are possible to construct by knowing only its altitude?
The construction of a triangle ABC, given that BC = 6 cm, B = ∠45° is not possible when difference of AB and AC is equal to :
Given, BC = 6 cm and ∠B= 45°
We know that, the construction of a triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle.
i.e., AB + BC < AC
⇒ BC < AC – AB
⇒ 6 < AC-AB
So, if AC – AB= 6.9 cm, then construction of ΔABC with given conditions is not possible.
Choose the correct statement
The point of concurrence of the three angle bisectors of a triangle, is called
In triangle ABC, side AB is produced to D so that BD = BC. If angle B = 60° and angle A = 70°, then
The point of intersection of the perpendicular bisectors of the sides of a triangle is called
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 90° with AB. The next step is:
The below given steps will be followed to construct the required triangle.
Draw line segment AB of 12 cm. Draw a ray AX making 90deg with AB.
Cut a line segment AD of 18 cm (as the sum of the other two sides is 18) from ray AX.
Join DB and make an angle DBY equal to ADB.
Let BY intersect AX at C. Join AC, BC.
ΔABC is the required triangle.
The lengths of the sides of some triangles are given, which of them is not a right angled triangle?