How to find the length of a side of a right triangle. :
How to find the length of a side of a right triangle. Example 1
A right triangle has legs of length 9 in and 12 in. What is the length of the third side, the hypotenuse? Plug in 9 and 12 for a and b. finally, square root both sides, to solve for c (remember that a and b are always the legs and c is always the hypotenuse) The hypotenuse has a length of 15 in.
Slide 3:
Example 2
A fire truck parks 20 ft away from a building and extends its ladder 25ft.
How far up the building can the ladder reach? b=20ft c=25ft a=? Subtract 400 from both sides Take the square root of both sides Plug in b and c The fire truck will be able to reach about 11.18 ft from the top of the truck.
How to decide if a triangle is a right triangle. :
How to decide if a triangle is a right triangle. Example 3 and 4
#3 A triangle has sides of length 7, 9, and 12. Is it a right triangle?
#4 A triangle has sides of length 10, 24, and 26. Is it a right triangle?
Use the Pythagorean theorem. ~ If you plug in a, b, and c, and the equation works, it is a right triangle.
Remember: a and b are the legs, but c is the hypotenuse, the longest side. Since 130 does NOT equal 144,
this triangle is NOT a right triangle Since 676 does equal 676,
this triangle IS a right triangle #3 #4