Pythagorean theorem - math word problems - page 10 of 73
Number of problems found: 1446
- Two diagonals
The diagonals of the diamond EFGH have lengths in the ratio of 1:2. What is the circumference of a rhombus if the longer diagonal is 8 cm long?
- Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal.
- Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break?
- Without Euclid laws
Right triangle ABC with a right angle at the C has a=5 and hypotenuse c=22. Calculate the height h of this triangle without the use of Euclidean laws.
- Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a.
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Against 82851
A 3.4 m long ladder is leaning against a wall. Its lower end is 1.6 m away from the wall. At what height does the ladder touch the wall?
- Determine 82595
A ladder is 7 meters long and is leaning against a wall so that its lower end is 4 meters away from the wall. Determine how high the ladder reaches
- Circumference 82552
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference?
- Circle and chord
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc?
- Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same.
- Surrounded 36661
Calculate the length of the circle, which is surrounded by a square with a side length of 3 cm
- Calculate 2566
Calculate the area of a regular hexagon with side a = 2cm
- Calculate square 2556
Calculate the arm length b of the trapezoid ABCD if a = 12 cm, c = 4 cm, the length of AC is same as the length of BC and the area S of the triangle ABC is 9 cm square.
- Bridge
The bridge arc has a span of 159 m and a height of 14 m. Calculate the radius of the circle arc of this bridge.
- Is right?
Is a triangle with sides 15, 66, and 68 right triangle?
- Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE?
- Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle?
- The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle?
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