What is the difference in perimeters of triangles ABC and ACD in the given figure ABCD? (Take √2 = 1.4 and √5 = 2.2)
0.4 m
ABC is a right - angled isosceles triangle.
The sides are in the ratio 1 : 1 : √2
Let the sides be x, x , √2 x
Here, x = √2
∴ The Length of AC = √2x
= √2×√2 = 2 m
Hence, using Pythagoras theorem we can say:
AD = √12+22 = √5 m
∴ Perimeter of the figure ABC = AB + BC + AC
= √2+√2+2
= 1.4 + 1.4 + 2
= 4.8 m
Perimeter of the figure ACD = AC+CD+AD
= 2+1+√5
= 3+ 2.2
= 5.2 m
So, the required difference in perimeters =5.2 -4.8 = 0.4 m