Question

the hypotenuse of a right triangle is 13 cm. taking the perpendicular sides as x and y write the relation connecting the sides ?​

Answer 1

$\color{green}{•••Answer•••} \\ \\using \: pythagoras \: theorem \\ {x }^{2} + {y}^{2} = {13}^{2} \\ {x}^{2} + {y}^{2} = 169 \\ \\ \\ \color{green}{•••hope \: it \: helps \: you•••}$

Answer 2

Step-by-step explanation:

Let one side be xcm.Since the difference between the two sides is 7cm

∴ the other side=x+7cm

As the given triangle is a right angled triangle with hypotenuse =17cm

By using pythagoras theorem, we get

x

2

+(x+7)

2

=17

2

⇒x

2

+x

2

+14x+49−289=0

⇒2x

2

+14x−240=0

⇒x

2

+7x−120=0

⇒x

2

+15x−8x−120=0

⇒x(x+15)−8(x+15)=0

⇒(x+15)(x−8)=0

⇒x=−15 or x=8

x=−15 cannot be negative

∴x=8

Hence the two sides of the triangle are 8cm and 15cm

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