Question

Among the following, the possible lengths of sides of a right angled triangle are
26cm 8cm 10cm b 10cm,26cm, 24cm C) 8cm,15cm, 17cm d 7cm. 24cm 25cm
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Answer 1

Answer:

b. 26, 24 and 10

Step-by-step explanation:

according to pythagoras theorem,

hypotenuse ^2= side^2+side^2

26^2=24 ^2+10^2

676=576+100

676=676

Answer 2

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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