Because this is a right angle triangle, we can use the Pythagorean theorem to find the missing leg.
The Pythagorean theorem is this:

The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.
We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.
24^2 + b^2 = 26^2
Solve for b.
24^2 + b^2 = 26^2
576 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100
Take the square root of both sides.
b = 10
So, the other leg of the triangle is 10 units long.
16 blocks.
You drive 2 blocks west and 5 blocks North to get to school.
You then have to drive 8 blocks east and 1 block south to get to your friends house.
They’re all different directions so just add them all up. You get 16
Answer:
21 and 30
Step-by-step explanation:
x + y = 51
x - y = 9
add the two equations and y's will cancel out
2x = 42 divide by 2
x = 21 so put 21 in for x in the top equation and solve
21 + y = 51
y = 30
Answer:
The width is 5 and the length is 11
Step-by-step explanation:
The formula for perimeter is
P = 2(l+w)
We know the perimeter is 32
32 = 2 (l+w)
Divide each side by 2
32/2 = 2(l+w)
16 = l+w
We know the length is 6 longer than the width
l = w+6
16 = w+6+w
Combine like terms
16 = 2w+6
Subtract 6 from each side
16-6 = 2w+6-6
10 = 2w
Divide by 2
10/2 = 2w/2
5 =w
The length is
l = w+6
5+6 = 11
Answer:
27
Step-by-step explanation: