pythagoras help!! 10 points?

Not a great question in that have to assume an isosceles triangle and length of whole base = 12 cm
In right angle triangle then have :-
10² = 6² + x²
x² = 10² - 6²
x² = 64
x = 8 cm

thats not a real triangle!!
the hypotemuse cant be smaller than either of the other 2 sides in a right angled triangle!!

if you were to do it
x^2=10^2-12^2
x^2=-44
x=(sqroot)-44 <---this doesnt exhist on the real plane, you cant have the square root of a negative number!

hope this helps

Draw a perfect-angled triangle shape; the hypotenuse is the longest factor ie the ladder leaning up against the wall. Pythagoras's theorem is that the sq. of the hypotenuse is comparable to the sum of the sq. of the different 2 aspects. you already know that the backside of the triangle is a million.8m (call that x) So: 2.9m squared = x squared + b squared. for the reason that x = a million.8 then x squared = 3.24 for the reason that 2.9 x 2.9 = 8.40-one, 3.24 + y squared = 8.40-one. Deduct 2.24 from 8.40-one = 5.17, so y squared = 5.17. artwork out the sq. root of y (the peak of the ladder) the two on your calculator or by trial & blunders. the respond to the closest 2 decimal places is two.73m.

According to the Pythagorean theorem:
a^2 + b^2 = c^2
(vertical side^2 + horizontal side^2 = hypontenuse^2)

12 ÷ 2
= 6 (one of the horizontal sides of the right-angled triangles)

a^2 + 6^2 = 10^2
a^2 = 100 - 36
a^2 = 64
a = √64
a = 8

∴ the vertical side is 8 cm.

x = √[10^2 - (12/2)^2] = √(100 -36) = √64
x = 8 cm

yep.. that is not a real triangle. the hypotenuse will always be longer than either of the two shorter legs. whoever it is that has given you that question is messing with you..

Well... you know the Pythagorean formula is a squared + b squared = c squared, right?

So in this case, you're trying to find you side b, so you rearrange the formula ==> c squared minus a squared equals b squared, so 12 x 12 - 10 x 10 = 144 - 100 = 44

So now you just square root 44 and bravo! Give yourself a pat on the back!

pythag: a^2+b^2=c^2

x (b) = 10^2 (c) - 6^2 (a)
= 100 - 36
= 64
= root 64 = 8
x = 8

in response to jesse and everyone else who answered, the 12cm actually referrs to the entire lenght of the base of the triangle NOT the cut off side. the hypotenuse is actually 10cm. the actual side lenght of half the base is 6cm. 6cm can work for the equation without the need for fiddly decimals.