Question

Which of the following cannot be the sides of a right triangle?
(a) 2 cm, 2 cm, 4 cm
(b) 5 cm, 12 cm, 13 cm
(c) 6 cm, 8 cm, 10 cm
(d) 3 cm, 4 cm, 5 cm​

Answer 1

Answer:

(a) 2 cm, 2 cm, 4 cm

Step-by-step explanation:

draw it and see

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Answer 2

Answer:

Concept:

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. The right triangle or 90-degree triangle is another name for this triangle. In trigonometry, the right triangle is significant. Let's read this article to discover more about this triangle.

Step-by-step explanation:

The right triangle's three sides are interconnected. The Pythagorean Theorem explains this connection. This theorem states that in a right triangle,

                   $hypotenuse^{2} = perpendicular^{2} + base^{2}$

Hence, by the given options, let us find out the right-angle triangles and which is not a right-angle triangle.

(a) 2cm, 2cm, 4cm

    $2^{2} + 2^{2} = 4^{2}$

    4 + 4 = 16

          8 = 16       which is not equal

(b) 5 cm, 12 cm, 13 cm

      $5^{2} + 12^{2} = 13^{2}$

     25 + 144 = 169

          169 = 169     which is  equal

(c)  6 cm, 8 cm, 10 cm

       $6^{2} + 8^{2} = 10^{2}$

      36 + 64 = 100

          100 = 100    which is equal

(d) 3 cm, 4 cm, 5 cm​

       $3^{2} + 4^{2} = 5^{2}$

       9 + 16 = 25

           25 = 25   which is equal

Hence, option (a) 2 cm, 2 cm, 4 cm are not sides of a right-angle triangle.

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