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:
Answer:
I usually explain even in the answer.
So we use something called distance formula which is branched of Pythagorean theorem.
But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.
The vertical is 1, you can find them by calculating how long is it and how tall.
Use pythogorean theorem from the formula and do 5^2+1^2 = c^2
25+1 = 26, so the answer is √26
I am pretty sure answer is right. Always take abolute value
<u>√26</u>