In Pythagoras theorem, the right-angled triangle is also called?

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Acute angled triangle

Scalene angled triangle

Reflex angled triangle

Straight angled triangle

answer is B.

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Detailed Solution

Given a right-angle triangle.
It is a figure of right-angle triangle,
Question Image

A scalene angled triangle has no sides that are the same.
As if they are same then won’t be able to obey the Pythagoras theorem which is,

(Hypotenuse)^{2} = (base)^{2} + (height)^{2}

.
Say if base = height =3 units and hypotenuse=5 units. Then,

\Rightarrow 5^{2} = 3^{2} + 3^{2}

\Rightarrow 25 = 9 + 9

But 25

\neq 18

So, two sides can’t be equal of a right angles triangle.
For example, the sides of a triangle are in the ratio

6 : 8 : 10

obey the Pythagoras theorem as

10^{2} = 8^{2} + 6^{2}

which is 100=100.
So, a triangle with different sides or angles is called the scalene angled triangle.
Hence, the correct option is 2.

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