Answer:
the is 4 because if you do 34 times the 14 divied by the 6 then your ansswer will be 4
Answer:
side a = 30 feet long.and side b = 30-14 = 16 feet long.
Step-by-step explanation:
Right triangle, with sides a, b=a-14 and h=34
By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196
Simplify to get 1156 = 2a2 - 28a + 196
Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0
Divide all terms by 2: a2 -14a - 480 = 0
Use quadratic equation to find that a = 30 or a = -16.
a = -16 will not work.
Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.
Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.Right triangle, with sides a, b=a-14 and h=34
By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196
Simplify to get 1156 = 2a2 - 28a + 196
Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0
Divide all terms by 2: a2 -14a - 480 = 0
Use quadratic equation to find that a = 30 or a = -16.
a = -16 will not work.
Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.
Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.
