Sunday

September 21, 2014

September 21, 2014

Posted by **sophie** on Sunday, May 22, 2011 at 2:34pm.

- math -
**bobpursley**, Sunday, May 22, 2011 at 3:21pmlengths of a right triangle? You mean the three sides?

Try it: lengths a, ar, ar^2

now see if Pythagoras postulate will work:

c^2=a^2 + b^2

Either a, or ar^2 is c. Try a first

a^2=(ar)^2+(ar^2)^2

dividing by a^2

1=r^2 + r^4

r^4+r^2-1=0

r^2 = (1+-sqrt(5))/2

r= 1.272

so sides are a; 1.272a; 1.618a

which means a was not the longest side.

check:

(1.618^2)=1^2+1.272^2

acute angles?

sinA= 1.272/1.618 Then B: sinB=1/1.618

**Answer this Question**

**Related Questions**

tricky math - consider the right triangle with sides 3,4,5. Notice that the ...

Geometry - Tell if the measures 9,11, and 7 can be side lengths of a triangle. ...

math - What are the measures of the angles of a right triangle with side lengths...

geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...

geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...

math - What are the measures of the angles of a right triangle with side lengths...

Geometry - If the measures of the exterior angles of the acute angles of a right...

geometry - okay i have a few question... 1.Find the equation of a line through ...

math - if the measures of the angles of a triangle are represented by 2x, 3x-15...

math - if the measures of the angles of a triangle are represented by 2x, 3x-15...