Pythagorean theorem + quadratic equation - practice problems
Number of problems found: 126
- The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field. - A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides . - Three 235
Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 80 degrees. Draw a picture and find the distance between A and B.
- 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| - Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs. - One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
- Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius. - Perpendicular 5516
In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26. - Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides. - Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm.
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Rectangle - diagonal
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters). - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side?
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
