The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side. (Hint: An isosceles right triangle is a right triangle whose legs are the same length.)
1 answer:
Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:
Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:
Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;
This gives:
Open bracket
Collect like terms
Using quadratic formula:
Split
x can not be negative.
So:
Recall that:
Hence, the dimensions are:
You might be interested in
Answer:
Infinite Solutions
Step-by-step explanation:
5(x-3)+6=5x-9
5x-15+6=5x-9
5x-9=5x-9
Add 9 to both sides
5x=5x
Divide by 5
x=x
Infinite solutions because any number put in will be right
The measure of the inscribed angle ( here angle K ) is half the measure of the central angle ( here 180 ° ). K = 4 x + 6° 4 x + 6° = 180°/2 4 x + 6° = 90° 4 x = 90° - 6° 4 x = 84° x = 84° : 4 Answer: x = 21°.
Answer:
-5x + 3
Step-by-step explanation:
1/3 x - 4x -5/3x + 1/3 x +3
2/3 x -4 -5/3x + 3
3/3x -4x +3
-1 1x -4x + 3
- 5x + 3
:)
Answer:
42 sweets
Step-by-step explanation:
28 / 2 = 14 x 3 = 42
Hope that helps!