What is equilateral triangles
Explanation: AAA theorem
100
Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle without using paper and pencil. What is your answer?
What is 12
Explanation: 5.12.13 triangle
100
What is the length of an arc intercepted by a central angle that has 59 degrees?
What is 59 degrees
central angle=intercepted arc length
100
What is the area of a triangle with a base of 10 and a height of 12.4
What is 62
Explanation: base x height/2 = area
100
find the Total Surface Area of a cube with a side length of 10
What is 600 units^2
Explanation: (10^2) x 6
200
At a certain time of the day, the shadow of a 5' boy is 8' long. The shadow of a tree at this same time is 28' long. How tall is the tree? Answer to the nearest tenth of a foot.
What is 17.5'
Explanation: 5/8=x/28
200
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
What is 127.3'
Explanation: 45.45.90 triangles (90rad2 = 127.3)
200
Calculate the area of a circle with a square inscribed in it. the square has a diagonal of 8m
What is 16pi meters
Explanation: diameter=8, radius=4, 4^2pi=16pi
200
Find the area of an equilateral triangle with a radius of 10.
What is 75rad3
Explanation: 30.60.90 triangle, (10rad3)^2 rad3/4
200
Find the volume of a hemisphere with a radius of 10.
What is 2094.4 units^3
Explanation: 2/3 pi 10^3
300
The sides of a triangle are 5, 6 and 10. Find the length of the longest side of a similar triangle whose shortest side is 15.
What is 30
explanation: 15/5=x/10
300
Given: Triangle ABC, angle B is a right angle, BC=10, angle C=50degrees. Find the length of the hypotenuse to the nearest tenth.
What is 15.6
Explanation: cos50=10/x
300
A chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circle.
What is 1963.5
Explanation: 7.24.25 triangle, radius is 25, radius^2pi=1963.5
300
Find the other base to a trapezoid with an area of 100, a height of 25, one base of 6.
What is 2
Explanation: 1/2 (x + 6) 25 = 100
300
Find the total surface area of a hemisphere with a radius of 13.
What is 507 units ^2
Explanation: 3 pi 13^2
400
Line DE is drawn in triangle ABC and is parallel to line AC. BD=4, EC=8, DA=6, what is the length of BC? Answer to the nearest 10th.
What is 13.3
Explanation: 4/6=x/8, x=5.3 + 8=13.3
400
Given: Triangle ABC, angle B is a right angle, BC=2.7, AB=20.3
Find: measure of angle C to the nearest tenth of a degree.
What is 82.4 degrees
Explanation: tan(angle C)=20.3/2.7
400
Given: the radius of circle A is 4, The radius of circle Z is 14, the distance between the circles is 8
Find: the length of the common external tangent, BY
What is 24
Explanation: form a right triangle, then 10^2 + x^2 = 26^2
400
find the area of a kite with a diagonals of 5 and 17.
What is 42.5
Explanation: 1/2 (5x17)
400
Find the total surface area of a cone with a height of 5 and a radius of 12.
What is 490.1 units ^2
Explanation: 1/2 (24pi) 13
500
Two ladders are leaned against a wall such that they make the same angle with the ground. The 10' ladder reaches 8' up the wall. How much further up the wall does the 18' ladder reach? Answer to the nearest 10th of a foot.
What is 6.4'
Explanation: 10/8=18/(x+8)
500
From the top of a vertical cliff 40m high, the angle of depression of an object that is level with the base of the cliff is 34ยบ. How far is the object from the base of the cliff?
What is 59.3m
Explanation: tan34=40/x
500
Given: Circles C and D, A is on circle C and B is on circle D. Line AB is an internal tangent of these circles. CA=5, AB=20. The distance between the circles is 30.
Find: BD.
What is 17.4
Explanation: 20^2 + (5+x)^2 = 30^2
500
Find the surface area of one of the lateral sides of a regular square pyramid with a height of 12 and a base area of 25.
What is 32.5
Explanation: 5.12.13 triangle, 5x13/2
500
What is the volume of a cylinder with a diameter of 16 and a height of 12?