equilateral triangle problem beginner

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a equilateral triangle with the sides 5cm and the area 7,5cm^2

what is the lenght of unkown side?

b * h = 15 cm^2
b*h/b = h
h = 3 cm
pythagoras gives us z = 4
and short side 1 cm

x = 5^2 + 1^2 = 10
root 10 ~ 3,2

x = 3,2

Is there similar problems like this in the beginner SAT? Very good example right? How would you explain this problem?

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@TooFriendly112,

If you were told that the triangle has at least two identical sides equal to 5 (isosceles) then
[(1/2)b]^2 + h^2 = 25
(1/2)bh = 15/2
Substitute h into the first equation
Solve the quadratic, and b = 5 or 45
Or simply observe that an equilateral triangle has three equal sides.
There is no unknown side and the base = 5

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@TooFriendly112,

TooFriendly112 wrote:

a equilateral triangle with the sides 5cm and the area 7,5cm^2

What definition of 'equilateral' are you using?

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@roger,

I think they’re confusing equilateral and isosceles.

1 Reply

@izzythepush,

Don't be obtuse

1 Reply

@maxdancona,

I think he's right.

Oh, a pun!

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@roger,

Yes, and there were 9 others. I am trying to find some play on words that will get Izzy to express his approval of me. But, sadly...

... No pun in ten did

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equilateral triangle problem beginner

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