Planimetrics - high school - practice problems
Number of problems found: 1032
- One side 3
One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. The perimeter of the triangle is 98cm. How long is the shortest side? - The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? - Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B.
- What is 25
What is the trunk of 8 and 10? - Two chords 2
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm, respectively, away from the center of the circle, calculate the length of the second chord. - The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles. - A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)? - General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse.
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR? - The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex? - Line segment
Find the length of the line joining points A(-4,8) and B(-1,4). - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 )
- Open and short circuit tests
A 4 kVA 200/400 V single phase 50 Hz transformer has the following data on O. C. (open circuit) & S. C. (short circuit) test: O. C. Test: 200 V 0.8 A 70 W (Low Voltage side) S. C. Test: 20 V 10 A 80 W (High Voltage side) Find Full Load efficiency and regu - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - A student 5
A student took the measurements of his classroom and gave the width as 7m and the length as 9m. If there is an error of 2 percent in measurement, determine the greatest value of [X+Y]/X if X and Y are the width and length of the classroom, respectively. G - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C.
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