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]