In a right angled triangle we can use Pythagoras theorem to determine third side in case two sides are given.
The formula of Pythagoras theorem is given by:
Where x , y and z are sides of triangle , z is hypotenuse.
Now we use this formula to find hypotenuse.
Plugging other two sides which are 5 in. and 12 in.
Taking square root on both sides
square root of 169 is 13
so we have z=13
Hypotenuse is 13 inches.
Answer:
8, 9 and 10
Step-by-step explanation:
We would have to find the 3 consecutive integers.
Consecutive integers are one after another, such as:
1, 2, 3, ... etc.
So, if we let the first integer be "x", the next one is 1 unit apart, so next one would be:
x + 1
Next one:
x + 2
So, we have 3 consecutive integers:
x, x + 1, x + 2
It is given, <em>3 times smallest (x) is 14 MORE THAN largest (x + 2)</em>. So we can write:
3x = x + 2 + 14
Now we solve for x:
So, the integers are:
8, 9 and 10