Pythagorean theorem - practice problems - page 7 of 73
Number of problems found: 1446
- Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c.
- Isosceles gable
The roof of a cottage has a gable in the shape of an isosceles triangle with a base length of 8m and a side length of 10m. How high is the gable?
- 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.
- 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.
- Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm.
- The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle.
- Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m
- 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.
- Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed by it.
- 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.
- Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm.
- Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm.
- Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α .
- 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?
- Circumscribed 7290
Calculate the area of a regular hexagon if the radius of the circle circumscribed is 6.8 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.
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