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प्रश्न
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
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उत्तर
Given: Sides of triangle 6 cm, 10 cm and 8 cm
As we know,
For right-angle triangle, square of one side must equal to sum of square of other two sides.
i.e. (10)2 = (6)2 + (8)2
100 = 36 + 64
⇒ 100 = 100
Hence, 6 cm, 10 cm and 8 cm are sides of triangle.
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संबंधित प्रश्न
Write a Pythagorean triplet whose one member is 16.
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1002 − 992
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
52 + 62 + 72 + 82 + 92 + 102 + 112 + 122
Which of the following number square of even number?
121
Find the square of the following number:
995
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