Pythagorean theorem - practice problems - page 6 of 73
Number of problems found: 1446
- Double ladder
The double ladder shoulders should be 3 meters long. If the lower ends are 1.8 meters apart, what height will the upper top of the ladder reach?
- Triangle eq
Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and area.
- Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm.
- Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
- Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm.
- Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
- Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
- 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.
- Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit?
- 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.
- Spruce height
How tall was the 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?
- Isosceles III
The base of the isosceles triangle is 18 cm area 250 cm². Calculate the perimeter of this triangle.
- 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).
- Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
- Distance - ladder
The double ladder has a height of 3 m. How high will it reach when we spread it at a distance of 1 m?
- Calculate 2
Calculate the largest angle of the triangle whose sides are 5.2cm, 3.6cm, and 2.1cm
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