Right triangle practice problems - page 23 of 84
Number of problems found: 1671
- Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
- Ladder
The ladder, 10 meters long, stays against the wall so that its bottom edge is 6 meters away from the wall. What height does the ladder reach?
- Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2
- Ladder
8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall. How high from the bottom of a well is the top edge of the ladder?
- Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
- Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm.
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Equilateral 2543
a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height. b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit? c) Calculate the square's area if the diagonal's s
- Calculate ΔRST
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r.
- Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm.
- Right angle
If b=10, c=6, and c are two sides of a triangle ABC, a right angle is at the vertex A, find the value on each unknown side.
- Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm.
- Garden fence
The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long leg. How many meters of the fence need to be fenced?
- The ladder
The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall?
- Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters.
- Perpendicular 73264
The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b.
- Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm.
- Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b?
- 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.
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