Planimetrics - math word problems - page 96 of 185
Number of problems found: 3698
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - 3-bracket 3
Two angles in a triangle are 90° and 45°. Has the triangle at least two equal sides? - Rectangle
The area of a rectangle is 893. Its length is 28 larger than the width. What are the dimensions of the rectangle? - Two angles 2
Two angles of a triangle have the same measure, and the third one is 45 degrees greater than the measure of the other two. Find the measure of the largest angle in the triangle. - Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. - Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - Radius
Find the radius of the circle with area S = 200 cm². - 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? - Rhombus sides
Find the sides of a rhombus; its area is 550 cm square, and its altitude is 20 cm. - Circle
How big is the area of a circle if its circumference is 51.2 cm? - Tile rectangle assembly
A bricklayer has 48 tiles. How many different rectangles will he assemble? - Sequence term count
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - Square diagonal perimeter
Calculate the diagonal and the area of a square if its circumference is 10 centimeters. - What is 10
What is the measure of the square side whose area is (4x² + 28x+49) square units? - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°. - Triangle Third Angle
Calculate the magnitude of the third interior angle in triangle ABC when alpha = 30 °, beta = 60 °
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