# Pythagorean theorem - 9th grade (14y) - math problems

#### Number of problems found: 539

- Triangle IRT

In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB. - Inscribed rectangle

The circle area is 216. Determine the area of inscribed rectangle with one side 5 long. - Sphere cuts

At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2. - Height of pyramid

The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height? - Spruce height

How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree? - The chord

Calculate a chord length which the distance from the center of the circle (S, 6 cm) equals 3 cm. - Body diagonal

Calculate the volume and surface of the cube if the body diagonal measures 10 dm. - Trapezoid ABCD

Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20. - Diamond

Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Forces

Determine the resultant of two perpendicular forces F_{1}= 560 N and second force of 25% smaller. - Vectors

Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - Find the 3

Find the distance and midpoint between A(1,2) and B(5,5). - Vector

Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2). - Three points

Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k? - Double ladder

The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart? - Acreage

What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters. ? - Waste

How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area? - Diagonal to area

Calculate the area of a rectangle in which the length of the diagonal is 10 cm. - Isosceles

Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area. - Square diagonal

Calculate the length of the square diagonal if the perimeter is 172 cm.

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math word problems. Examples for 9th grade.