Question

full solution plzzz​

Answer 1

Answer:

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Answer 2

Need to know:

• Before we find the answer u need to know that in a right angled Triangle Sum of squares of two sides is always equal to the square of the third side.

Solution:

$\sf (a) \color{lightgreen} 0.5cm,1.2cm \: and \: 1.3cm$

Sum of squares of two sides

$\sf = \color{lightgreen} {0.5}^{2} + {1.2}^{2} = 1.69cm$

square of other side

$\sf = \color{lightgreen} {1.3}^{2} = 1.69cm$

Here, Sum of squares two sides of Triangle is equal to the square of the other side.

Hence, it is an right angled Triangle

_____________________

$\sf (b) \color{purple} 2.4cm,3.2cm \: and \: 7.9cm$

Sum of squares of two sides

$\sf = \color{purple} {2.4}^{2} + {3.2}^{2} = 16cm$

square of other side

$\sf = \color{purple} {7.9}^{2} = 62.41cm$

Here, Sum of squares two sides of Triangle is not equal to the square of the other side.

Hence, it is not an right angled Triangle

_____________________

$\sf (c) \color{orange} 5.0cm,5.25cm \: and \: 7.25cm$

Sum of squares of two sides

$\sf = \color{orange} {5.0}^{2} + {5.25}^{2} = 52.5625cm$

square of other side

$\sf = \color{orange} {7.25}^{2} = 52.5625cm$

Here, Sum of squares two sides of Triangle is equal to the square of the other side.

____________________

$\sf (d) \color{red} 1.6cm,3.0cm \: and \: 3.4cm$

Sum of squares of two sides

$\sf = \color{red} {1.6}^{2} + {3.0}^{2} = 11.56cm$

square of other side

$\sf = \color{red} {3.4}^{2} = 11.56cm$

Here, Sum of squares two sides of Triangle is equal to the square of the other side.

Here, we observed that the (a),(c) and (d) are the right angled Triangle.