# Expression of a variable from the formula + right triangle - math problems

#### Number of problems found: 455

• ABS triangle Point S is the center of the square ABCD. The ABS triangle has a content of 9 cm2. What is the circumference of the square in cm?
• 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.
• Two forces 3 Two forces of magnitude 8 Newtons and 15 Newtons respectively act at a point. If the resultant force is 17 Newtons, find the angle between the forces.
• Sides in ratio The sides of the triangle are in a ratio of 2: 8: 5. Find the dimensions of the remaining sides if the longest side is 32 cm.
• The block The block has the dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block.
• Trapezoids In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.
• Diagonals of rhombus Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
• One of One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus.
• The two The two angles of a triangle are 78° and 82°. So what is the measure of the remaining third angle?
• Michael 2 Michael has a 35 foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house?
• Centre of the hypotenuse For the interior angles of the triangle ABC, alpha beta and gamma are in a ratio of 1: 2: 3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB.
• Parallelogram diagonals Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.
• Center of gravity and median In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?
• The gable The gable of the house has the shape of an isosceles triangle, which has a base length of 14 meters, and arms with a length of 8 meters. What is the tall gable of the house?
• Diamond and angles Find the area of a diamond with a side of 5 cm if you know that the internal angles in the diamond are 60° and 120°.
• Isosceles trapezoid Find the height in an isosceles trapezoid if the area is 520 cm2 and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid.
• Parallelogram ABCD We have the parallelogram ABCD, where AB is 6.2 cm BC is 5.4 cm AC is 4.8 cm calculate the height on the AB side and the angle DAB
• The rectangular The rectangular trapezoid has bases 15 dm and 8 dm long and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid?
• The triangle The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle?
• Goat The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent

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