contestada

GEOMETRY B
Which of these is the length of the hypotenuse of a 30°-60°-90° triangle with legs
measuring 6 in. and 6V3 in.?

Respuesta :

absor201

Answer:

Hypotenuse = 12 inches

Step-by-step explanation:

As the given triangle involves an angle of 90°, this is a right angle triangle.

We an use the Pythagoras theorem to find the length of hypotenuse

So,

[tex](H)^2 = (B)^2 + (P)^2\\H^2 = (6)^2 + (6\sqrt{3})^2\\ H^2 = 36 + (36*3)\\H^2 = 36 + 108\\H^2 = 144\\\sqrt{H^2}=\sqrt{144}\\ H=12\ inches[/tex]

Hence the length of hypotenuse is 12 inches ..

luisejr77

Answer: The length of the hypotenuse is 12 inches.

Step-by-step explanation:

You need to use the Pythagorean Theorem:

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

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

You can say that:

[tex]b=6in\\c=6\sqrt{3}in[/tex]

Therefore, substituting values into [tex]a^2=b^2+c^2[/tex] and solving for "a", we get that the lenght of the hypotenuse is:

[tex]a^2=(6in)^2+(6\sqrt{3}in)^2\\a=\sqrt{(6in)^2+(6\sqrt{3}in)^2}\\\\a=12in[/tex]

Otras preguntas