SOLUTION: What is the length of ab if ab=bc and the hypotenuse equals 7 times the square root of 2.
Algebra.Com
Question 891565: What is the length of ab if ab=bc and the hypotenuse equals 7 times the square root of 2.
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
ab and bc are the sides of the right triangle.
You're given the hypotenuse as 7*sqrt2
+ =
Since the sides are the same...
2=
Let's square the hypotenuse
(7*sqrt2)^2 = 49*2, or 98
2=98
Divide each side by 2
=49
Take the square root of each side
a = 7
The sides are 7 and 7, and the hypotenuse is sqrt of 98 which is approximately 9.9 (9.8994949...)
RELATED QUESTIONS
In a right triangle ABC, the hypotenuse is AB, with AC=5 and BC=12. Make a square ABLH... (answered by MathLover1)
<-A--------B---------C->
In the figure above, if AB equals 52 and BC equals 58, what... (answered by richwmiller)
A_____________B____________________C
In the figure above, if AB equals 52 and BC equals... (answered by CubeyThePenguin)
A_____________B____________________C
In the figure above, if AB equals 52 and BC equals... (answered by CubeyThePenguin)
what is the property of equality if AC = AB and AC = BD, then BD = AB +... (answered by richwmiller)
In triangle ABC, AB = AC, and line segment AD bisects line BC. If AB = 6 and BC = 4, then (answered by w_parminder)
Triangle ABC has a perimeter of 30 inches
BC = 2 times the length of side AB
CA =... (answered by Alan3354)
The ratio of AB: BC is 3:2. If AC=15 cm, find the length of... (answered by stanbon)
In triangle ABC, length AB = 32, length BC = 10, and length AC = 26. If line segment CH... (answered by math_helper,greenestamps)