Planimetry - practice problems - page 2 of 72
Number of problems found: 1438
- Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B. - Blue region
Find the area of the blue region shown in the picture. - A baseball
A baseball is hit over a fence that is 325 feet away and 110 feet tall. How far did the ball travel in a straight line when it reached the fence? - EQ2 - roots Find the equation whose roots are the two numbers 8 and 10?
- An isosceles triangle An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 in
- In football
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards; how far apart were the ball carrier and defender when they star - ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - Bradley
Bradley is making a box that has a length of 14 7/8 inches and a width of 5 1/3 inches. How much wood does he need to make the box? - Isosceles right triangle
If I have a right triangle with each leg on either side of the right angle measuring 24 inches, what is the length of the hypotenuse? - A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall. - Stacy
Stacy collected 4 bins of glass bottles to recycle. Tessa collected 1 1/5 times as many bins as Stacy. How many bins of bottles did Tessa collect? - Concentric circles 4
One circle has a radius of 98 cm, and a second concentric circle has a 1 m 26 cm radius. How much longer is the circumference of the second circle than that of the first? - Distributive property 2
Show with a drawing that 5 × (6 + 2) = 5 × 6 + 5 × 2. What is the name of this property? - Equilateral RT In a right triangle, leg a = 12 and leg b = 12. What is the hypotenuse c?
- Missing side length
Use the Pythagorean Theorem (a² + b²=c²) to find a unknown side length: a = 5; c = 13 ; b=? - South and then east
William walks 16 m south from his house and turns east to walk 63 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning? - An electorate
In an electorate, 3/4 th of the voters are Tamils. Of the remaining 2/3 rd are Muslims, and the others are Sinhalese. If the number of Sinhalese in that electorate is 587, find the number of voters in that electorate. - A right triangle A right triangle has legs with lengths of 24 cm and 21 cm if the length of the hypotenuse, in cm, can be written in the form of 3 sqrt(d), then what is the value of d?
- A rope for cow
Find the length of rope by which a cow must be tethered so that it can graze an area of 154 m².
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