Problem Solving 2.0
Converse
Problem Solving
Misc.
100
Units are in inches
x = 10 in
100
Is 3, 4, 5 a Pythagorean triple?
Yes
100
x = 16 ft
100
True or False: Pythagorean Theorem only applies to right triangles.
True
200
If a 35 inch TV screen is 26 inches long, how tall is the screen?
sqrt(35^2-26^2)= 23.4
inches
200
Is 2, 5, 8 a Pythagorean triple?
No
200
A floor exercise mat measures 40 ft by 40 ft. Find the measure of the diagonal.
56.6 feet
200
A triangle with sides of 3 cm, 3 cm, 5cm is a _______ triangle.
Isosceles
300
If the perimeter of a right triangle is
3+sqrt5
cm and the hypotenuse is
sqrt(5)
cm, find the two leg lengths.
a = 2, b = 1
300
Write the converse of: If
a^2 + b^2 = c^2
then it is a right triangle.
If it is a right triangle, then
a^2 + b^2 = c^2
300
Alex is pushing a man in a wheelchair up a ramp. The slant of the ramp is 5 feet long. The height of the ramp is 4 feet. What is the ground distance of the ramp?
3 feet
300
Triangle with sides of 2 cm, 4 cm,
sqrt(20)
cm is a _______ triangle.
Right
400
25 feet
400
{k, 5, 6} is a Pythagorean triple. Find k
k = sqrt(11)
Or
k = sqrt(61)
400
A 13 foot ladder is leaning against a building. The base of the ladder is 5 feet from the building. How high on the building is the ladder?
12 feet
400
Short side: 4 ft, Longest side: 5 ft What is the third side of the triangle?
3 ft
500
Town A is 9km west of town B, and 12km south of town C. A road connects towns B and C directly. Find the length of this road.
15 km
500
Is the triangle with sides 100 m, 240 m, 260 m right angled?
Yes
500
Mary is flying a kite. The length of the kite string is 50 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?
30 feet
500
Find the hypotenuse if
a^2 = 11 , b^2 = 25
c = 6