Question: Find the lengths of AB and BC of the right triangle.
A ) 3 units and 10 units
B ) 3√10 units and √10 units
C ) 10 units and 20 units
D ) 4 units and 2 units
Steps to derive
1 If one angle of the triangle is 90° then the triangle is a right triangle.
2 The side opposite to the right angle is the hypotenuse.
3 According to Pythagorean theorem, square of the hypotenuse = sum of the squares of the sides.
[Apply Pythagorean theorem for ΔABC.]
4 AC2 = AB2 + BC2
[Substitute AB = 3
5 (3
6 9
7 10
8
9
[Substitute
10 BC =
[Substitute
11 AB = 3
12 The lengths of AB and BC are 3√10 units and √10 units.
Hence the right answer is Option B
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