Question

Can someone help me with right triangles? please.

Answer 1

If the hypotenuse of a 45º-45º-90º triangle is 54 inches long, what is the length of one of the legs? Leave your answer in radical form.

Answer 2

If a is the length of a leg in a 45-45-90 triangle, the length of the hypotenuse is always
\[a \sqrt{2}\]
Consequently, if b is the length of a leg, then the length of the hypotenuse is
\[\frac{b}{\sqrt{2}} = \frac{b \sqrt{2}}{2}\]

IN the case where 54 is the length of the hypotenuse, then a leg will measure:
\[\frac{54}{\sqrt{2}} = \frac{54\sqrt{2}}{2} = 27\sqrt{2}\]

That's it, hope it helped :)

Answer 3

that did thank you very much ! :)

Answer 4

i have another 1 if you don't mind ?

Answer 5

hang on, my first answer wasn't quite right, let me rephrase...


If a is the length of a leg in a 45-45-90 triangle, the length of the hypotenuse is always
a2√

Consequently, if b is the length of the hypotenuse, then the length of the leg is
b2√=b2√2


IN the case where 54 is the length of the hypotenuse, then a leg will measure:
542√=542√2=272√

Answer 6

Ok, I'm ready for your next question :)

Answer 7

A sphere has a diameter of 4 meters. What is the approximate volume of the sphere?

Answer 8

The volume of a sphere is given by this formula

\[V = \frac{4}{3}\pi r^{3}\]
Where r is the radius of the sphere
and
the value of pi is approximately
\[\pi = 3.1416\]

Answer 9

Can you do it from here?

Answer 10

what do i do after that ?

Answer 11

Well, basically, you need a value for r
what's r?
:)

Answer 12

4 i think ?

Answer 13

r, or radius, is half the diameter :D
If 4 is the diameter, then what is the radius?

Answer 14

2

Answer 15

That's right, so just plug it into the formula for the volume of a sphere :D
\[V = \frac{4}{3}\pi r^{3}\]

And you'll get the volume :)

Answer 16

which is 33.49 i got it thanks so much !

Answer 17

No problem :D