Respuesta :

Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

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Hey Buddy !

Question : -

For the following right triangle , find the side length x .

Given : -

  • Perpendicular = 12

  • Base = 35

  • Hypotenuse = x

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

Pythagoras Theorem : -

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

  • H = Hypotenuse

  • P = Perpendicular

  • B = Base

From Here Solution Starts : -

Substituting the values in formula :

  • x² = 12² + 35²

  • x² = 144 + 1225

  • x² = 1369

  • x = √1369

  • x = 37

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

#[tex] \rm{ \bold{Keep \: Learning}}[/tex]