Page 62 - Mathematics Class - X
P. 62
Viva-Voce
1. Name the ancient Indian mathematician who mentioned the same theorem as Pythagoras.
Ans. Baudhayan in 1000 BC.
2. The Pythagoras theorem is a relationship between the lengths of the sides of what kind of triangles?
Ans. Right-Angled Triangle
3. Is 50, 100 and 80 a Pythagorean triplet?
Ans. No, it’s not a Pythagorean triplet.
4. A man goes 10 m due east and then 24 m due north. Find the distance from starting point.
Ans. Since a right angled triangle is formed, by Pythagoras theorem
AC = AB + BC ⇒ AC = 10 m + 24 m 2
2
2
2
2
2
2
2
m
2
AC = 100 m + 576 m ⇒ AC = 676 m ⇒ AC = 676 m = 26 m
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2
2
2
2
5. State the converse of Pythagoras theorem. m
Ans. If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the
third side, then the triangle is a right-angled triangle.
MCQs
A
1. What is the approximate measure of the missing length (AC)?
a) 55 m b) 57 m
c) 63 m d) 71 m C
B
2. Ms. Lalita drove about 150 km east from City A, to City B. She drove about another 75 km north to City C.
What is the approximate air distance from City A to City C?
a) 160 km b) 168 km c) 175 km d) 225 km
3. What is the measure of the missing length (AC) in fig. (i) ?
a) 13 4 b) 4 13 A
c) 2 13 d) 6 13
4. What is the area of square C in fig. (ii)?
a) 90 cm 2 b) 1960 cm 2 B C
c) 2009 cm d) 3969 cm 2 Fig. (i) Fig. (ii)
2
5. If the three sides of a triangle are a, √3a, √2a, then the measure of the angle opposite to the longest side is
a) 45° b) 30° c) 60° d) 90°
Answers: 1. a) 55 2. b) 168 km 3. b) 4 13 4. c) 2009 cm 2 5. d) 90°
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