The Baudhāyana–Pythagoras Theorem — Practice

Question 1

A right-angled triangle has legs of 9 cm and 12 cm. What is the length of its hypotenuse?

Accepted Answer

15 cm

Question 2

What is the length of the diagonal of a square whose side is 7 cm?

Accepted Answer

7√2 cm

Question 3

Which of the following is NOT a Baudhāyana (Pythagorean) triple?

Accepted Answer

(6, 8, 11)

Question 4

A square is drawn on a dotted grid with all four corners on grid dots. Which of these areas is IMPOSSIBLE for such a square?

Accepted Answer

3 sq units

Question 5

The hypotenuse of an isosceles right-angled triangle is 8 cm. What is the length of each of its equal sides?

Accepted Answer

√32 cm

Question 6

A ladder 25 m long rests against a vertical wall with its foot 7 m away from the wall. How far up the wall does the ladder reach?

Accepted Answer

24 m

Question 7

A right-angled triangle has legs of length 5 and 6. Between which two numbers with one digit after the decimal point does its hypotenuse lie? Show the squaring that proves it.

Accepted Answer

Between 7.8 and 7.9

Question 8

Is (5, 12, 13) a scaled version of a smaller Baudhāyana triple? Justify your answer, and then find the smallest scaled version of it in which all three numbers are greater than 100.

Accepted Answer

It is primitive, so it is not a scaled version of anything; the required scaled version is (105, 252, 273)

Practice — The Baudhāyana–Pythagoras Theorem

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