Question

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Which of the following can be the sides of a right angle triangle?

a. 2.5cm, 6.5cm, 6cm

b. 2cm, 2cm, 5cm​

Answer 1

Answer:

I think part A Is Correct

Step-by-step explanation:

2.5cm,6.5cm,6cm

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Answer 2

Step-by-step explanation:

Question:

Which of the following can be the sides of a right angle triangle?

a. 2.5cm, 6.5cm, 6cm

b. 2cm, 2cm, 5cm

Understanding:

So, this questions says that we need to find that the following sides are of a right angle triangle or not. so, for this we will apply Pythagoras Thereom.

Which says that:

${p}^{2} + {b}^{2} = {h}^{2}$

Solution:

a. 2.5cm, 6.5cm, 6cm

So, Hypotenuse is the longest side of a triangle

So, 6.5 cm = Hypotenuse

$= > {2.5}^{2} + {6}^{2} = {6.5}^{2}$

$= > 6.25 + 36 = 42.25$

$= > 42.25 = 42.25$

Hence, LHS = RHS.

SO, THESE ARE THE SIDES OF A RIGHT ANGLE TRIANGLE.

b. 2cm, 2cm, 5cm

5cm = hypotenuse

${p}^{2} + {b}^{2} = {h}^{2}$

${2}^{2} + {2}^{2} = {5}^{2}$

$4 + 4 = 25$

$8 = 25$

Therefore, LHS IS NOT EQUAL TO RHS.

SO, THESE ARE NO THE SIDES OF A RIGHT ANGLE TRIANGLE.

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