Solve Right Triangles - 45-45-90, , Pythagorean Theorem Problems
No
Do the values a=4, b=6, and c=9, make a right triangle?
Yes
Do the values a=5, b=12, and c=13, make a right triangle?
leg
Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.
6√2
Find Z.
3√2
Find x
15
Find x. Use Pythagorean Theorem
48
Find x. Use Pythagorean Theorem
a² + b² = c²
Formula for Pythagorean Theorem
128
In a college soccer league, the smallest field allowed is a rectangle 65 yards wide and 110 yards long. To the nearest yard, what is the length of the diagonal that goes across the field?
15.62
In a right triangle, if a = 10, and b = 12, what does c equal?
16.97
In a right triangle, if a = 21 and c = 27, what does b equal?
11.18
In a right triangle, if a = 5 and b = 10, what does c equal?
12
In a right triangle, if a=5 and c=13, what does b=?
10
In a right triangle, if a=6 and b=8, what does c=?
25
In a right triangle, if a=7 and b=24, what does c=?
14.70
In a right triangle, if b = 15 and c = 21, what does a equal?
9.75
In a right triangle, if c = 12 and a = 7, what does b equal?
hypotenuse
The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.
acute
Three sides of a triangle are 2, 5, and 5. Is the triangle acute, obtuse, or right?
right
Three sides of a triangle are 21, 28 and 35. Is the triangle acute, obtuse, or right?
obtuse
Three sides of a triangle are 3, 4, and 6. Is the triangle acute, obtuse, or right?
4
b = ?
2√2
a = ?
8
a = ?
8√2
a = ?
