What happens when the three vertices lie on a straight line? Class 7
mediumWhat happens when the three vertices lie on a straight line? Class 7
Question 1.
What happens when the three vertices lie on a straight line? Class 7
Solution:
No triangle is formed.
Question 2.
The construction ensures that both AC and BC are of length 4 cm. Can you see why? Class 7
Solution:
Because, the two circles have been drawn with the same radius 4 cm.
Question 3.
Construct triangles having the following side lengths (all the units are in cm): Class 7
(a) 4, 4, 6
(b) 3, 4, 5
(c) 1, 5, 5
(d) 4, 6, 8
(e) 3.5, 3.5, 3.5
Solution:
Do as directed, by the same steps 1, 2, 3 and 4 as discussed in for sides 4 cm, 5 cm and 6 cm.
Step 1: Construct the base AB with one of the side lengths. Let us choose AB = 4 cm (see Fig.).
Step 2: From A, construct a suffiently long arc of radius 5 cm (see Fig.).
Step 3: From B, construct an arc of radius 6 cm such that it intersects the fist arc (see Fig.).
Step 4: The point where both the arcs meet is the required third vertex C. Join AC and BC to get ∆ABC.
