Question

Solve the word problem.

One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2 times the other leg by 4 inches.

Hypotenuse = ......inches

leg =...... inches

Answer 1

\[a ^{2}*b ^{2}=c ^{2}\]

Answer 2

a = 96
\[c=2b+4\]
\[96^{2}+b ^{2}=(2b+4)^{2}\]

Answer 3

\[9,216+b ^{2}=4b ^{2}+16b+16\]

Answer 4

understand so far?

Answer 5

yeah, I think :)

Answer 6

\[3b ^{2}+16b-9,200=0\]

Answer 7

\[B=52.77499 \]
solve C...
\[C=\sqrt{a ^{2}+b ^{2}}\]

Answer 8

\[C=2b+4\]
\[C=2*52.77499+4\]
\[C=105.54999+4\]
\[C=109.54999\]
the answer is 109.5499 or Round up 110

Answer 9

understand now?

Answer 10

yes, thank you so much! :D

Answer 11

np :D