Question

please help me find h on this pythagoream problem: h^2=a^2+(a/2)^2
answer
a.(a√5)/2
b.a√3
c.a√5
d.(a√3)/2

Answer 1

\[h^2=a^2+(a/2)^2 = a ^{2}+\frac{ a ^{2} }{ 2^{2} }=a ^{2}+\frac{ a ^{2} }{ 4 }\]Simplify this expression.

Answer 2

ok let me try

Answer 3

is that like a sum of fraction right i just put 1 under a^2

Answer 4

so the result is 5a^2/4

Answer 5

Experiment first:

Try adding 1/4 to 1 (or 1 to 1/4).

Yes, your result is correct. Congrats!

Answer 6

but i dont see that result on the options please help me/

Answer 7

The quantity that we calculated was h^2. To find h, merely take the square root of our expression for h^2. Suggest choosing the positive square root.

Answer 8

ok so h=√5a^2/√4

Answer 9

or h=√5a^2/4