Pythagorean theorem - practice problems - page 5 of 73
Number of problems found: 1442
- Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs.
- Calculate 82490
Calculate the area of an isosceles triangle ABC with a base of 10 cm and a side of 7 cm. Sketch a picture.
- Triangle 36091
Decide if the triangle is right (sides 5,11,7, cm)
- Arbor
Calculate in square meters the area of an arbor whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m.
- Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose center is 3 cm from the chord.
- Square2
The side of the square is a = 5.6 cm. How long is its diagonal?
- Supported 6172
The ladder is 1.4 m from the wall and touches 3 m high. How long is the ladder?
- Calculate 2577
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm.
- 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).
- Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
- Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
- Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square?
- OPT
What is the perimeter of a right triangle with the legs 11 cm and 24 cm long?
- Calculate 78714
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.
- Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long.
- Ladder 35331
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach?
- Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b?
- Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long.
- Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm.
- Broken tree
The tree is broken at 4 meters above the ground. The top of the tree touches the ground at a distance of 5 meters from the trunk. Calculate the original height of the tree.
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The Pythagorean theorem is the base for the right triangle calculator.