Q1 of 4 Page 212

If I draw a triangle length of whose two sides are 5 cm and 4 cm and the measurement of the angle opposite to the side of length 4 cm is 45°, then let's see what type of triangle I shall get. It is seen that it is not possible to draw any triangle with these conditions.

Given: Length of two sides 5cm and 4cm

and the angle opposite to the side of length 4 cm is 45°


So, let’s start the construction step–by–step:


Step 1:


Draw the base of triangle AB = 5cm



Step 2:


At A, construct an angle ∠XAB = 90° with the help of compass and scale and then bisect the angle XAB at 45°



Step 3:


Take distance 4cm in compass keep the needle of the compass on point B and mark an arc intersecting ray drawn in step 2.



Step 4:


Mark the intersection point as C and join BC



More from this chapter

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1

Let's draw a triangle whose two angles are of measurements 45° and 30° and length of the opposite side of 30° angle is 6 cm. Now I construct the above triangle and write down the steps of construction and prove it logically.

 1

Let’s draw a triangle whose two sides are 6cm and 7cm and the measurement of the angle opposite to the side of length 7cm. is 60°. Let’s write what will the measurement of the sides to form a triangle.

 2

Let’s construct a triangle whose length of two sides are 6cm. and 9cm. and the measurement of the angle opposite to the side of length 9cm. is 105°. Let’s write for what length of sides we will not be able to construct two triangle.