We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
THE ANSWER YOU LOOKING FOR IS 21G
My friends say I'm really good at math. I am currently 3 grades ahead in math and I have always gotten A's.
Answer:
6
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Based on what is stated in the question :
Expressing the worded equation Mathematically,
(5x - 7) / 2 = y
If y = 28
(5x - 7) / 2 = 28
Cross multiply
5x - 7 = 28 * 2
5x - 7 = 56
5x = 56 + 7
5x = 63
x = 63 / 5
x = 12.6
Hence, x ≠ 9
