Planimetrics - high school - practice problems - page 4 of 52
Number of problems found: 1033
- Euclidean distance
Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price. - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle. - Isosceles 7929
ABCD isosceles trapezoid. A = 6cm, e = 7cm and delta angle = 105 °. Calculate the remaining pages.
- Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC. - Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm. - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Calculated: 2839
A trapezoid is given: c = 4.2 cm, h = 8 cm, S = 42.4 cm, d = 8.4 It would help if you calculated the following: sides a and b, and perimeter o: - Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse dividing it into two unequal segments. The length of one segment is 5 cm. What is the area of the triangle? Thank you.
- Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid. - Sea
How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km). - KLMN
In the KLMN trapezoid is given this information: 1. segments KL and MN are parallel 2. segments KL and KM have the same length 3. segments KN, NM, and ML have the same length. Determine the size of the angle KMN. - Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and a central angle is 40°. Please result round to three decimal places.
- Triangle ABC
In a triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC triangle A - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Rectangular garden
How many m² (square meters) is a rectangular garden if a = 21 steps and a wide b = 41 steps are long, with the length of one step being, on average, 3/4 (three quarters) meters? - Field with vegetables
The field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated? - Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long.
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