Name:______________________________________
Date:___________________
Section 7.2 Notes: Converse of the Pythagorean Theorem
Converse of the
Pythagorean Theorem
Tell whether the following are right triangles:
1.
2.
Proving triangles
acute using the
Pythagorean
Theorem
3. Can the side lengths 4.3 ft, 5.2 ft, and 6.1 ft form an acute triangle?
Proving Triangles
obtuse using the
Pythagorean
Theorem
4. Can the sides of 3, 4, and 6 form an obtuse triangle?
Name:______________________________________
Practice
Date:___________________
1. Tell whether the following lengths can represent a triangle. If it is a triangle, determine
if the triangle is acute, right, or obtuse.
a. 10, 12, 30
triangle: yes or no
type: acute, right, or obtuse
b. 8, 9, 10
triangle: yes or no
type: acute, right, or obtuse
c. 5, 7, 9
triangle: yes or no
type: acute, right, or obtuse
d.
triangle: yes or no
type: acute, right, or obtuse
triangle: yes or no
type: acute, right, or obtuse
3, 4 , 2
e. 6, 8, 10
2.
a.
b.
c.
d.
What type of triangle has side lengths 4, 4, and 4?
acute scalene
acute equilateral
obtuse scalene
obtuse isosceles
3.
a.
b.
c.
d.
What type of triangle has two of the three angles with measurements 24 and 105?
acute
right
obtuse
none
4. The distances between 3 towns are given in the diagram.
a. Is the triangle (ABC) formed by the three towns a right triangle?
A
39mi
15mi
B
b. Town B is directly west of Town C. Is Town A directly north of town C?
C
36mi
5. Edna and Nancy leave a house of a friend at the same time. Edna walks due east 7 miles.
In the same amount of time Nancy bikes 24 miles due North. What is the straight line
distance between Edna and Nancy?