contestada

In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg b, if:
c=6, a=5

34 points to the first one who gets it correct

Respuesta :

wegnerkolmp2741o

Answer:

b = sqrt(11)

Step-by-step explanation:

Using the Pythagorean theorem

a^2 + b^2 = c^2

and substituting what we know

5^2 + b^2= 6^2

25 + b^2 = 36

Subtract 25 from each side

25-25 + b^2 = 36-25

b^2 = 11

Take the square root of each side.

sqrt(b^2) = sqrt(11)

b = sqrt(11)

We only take the positive because length must be positive.

gmany

Use the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex]

a,b - legs

c - hypotenuse

We have c = 6 and a = 5. Substitute:

[tex]5^2+b^2=6^2[/tex]

[tex]25+b^2=36[/tex]     subtract 25 from both sides

[tex]b^2=11\to \boxed{b=\sqrt{11}}[/tex]

Otras preguntas