Among the following, the measures of sides of triangle forms a right angled triangle is
a) 6cm, 8cm, 10cm b) 5cm, 8cm, 11cm c) 8cm, 15cm, 17cm d) 7cm, 24cm, 25cm
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Step-by-step explanation:
Given Among the following, the measures of sides of triangle forms a right angled triangle is a) 6cm, 8cm, 10cm b) 5cm, 8cm, 11cm c) 8cm, 15cm, 17cm d) 7cm, 24cm, 25cm
- Given we need to find the measure of sides of triangle which form a right angle will be sum of squares of two smaller sides equals the square of the longest side.
- 1. 6 cm, 8 cm, 10 cm = 6^2 + 8^2 = 10^2, so 36 + 64 = 100 = 100 form a right angle.
- 2. 5 cm, 8 cm, 11 cm = 5^2 + 8^2 = 11^2 , so 25 + 64 = 89 = 121 do not form a right angle
- 3. 8 cm, 15 cm,17 cm = 8^2 + 15^2 = 17^2, so 64 + 225 = 289 = 289 form a right angle
- 4. 7 cm,24 cm, 25 cm = 7^2 + 24^2 = 25^2, so 7^2 + 24^2 = 625 = 625 form a right angle
Reference link will be
https://brainly.in/question/5952993
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