Respuesta :

lLemoe

Answer:

c = 13

Step-by-step explanation:

First we use the Pythagorean Theorem to find the hypotenuse.

a^2 + b^2 = c^2

Plug in the known numbers.

5^2 + 12^2 = c^2

Solve

25 + 144 = c^2

169 = c^2

[tex]\sqrt{169} = \sqrt{c^2}[/tex]

13 = c

Checking the equation.

5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

The Equation is true!

AikoMikan

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 12

Altitude = 5

Hypotenuse = ? (let's take it as 'c' )

Hypotenuse² = Base² + Altitude ²

c² = 12² + 5²

c² = 144 + 25

c² = 169

c = √169

c = 13

Hope it helps ya!

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