Ratio + triangle - practice problems - page 2 of 11
Number of problems found: 219
- Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - Altitude difference
What is a climb per mille of the hill long 4 km and the altitude difference is 6 meters? - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Angles in triangle
The triangle is the ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What is the size of the angles of the triangle? - Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2: 3: 5 ratio. - Circumference 15873
The sides of the triangle are in a ratio of 3:4:6. One side of it measures 21 cm. Calculate its circumference. - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - Inequality 4434
The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds - The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts? - A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles? - Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity. - Road
The average climb of the road is given by ratio 1:15. By what angle does road moderate climb? - Rhombus
Internal angles of a rhombus are in ratio 2:3. How many times is the shorter diagonal longer than the side of the rhombus? - Calculate 64514
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c. - Circumference 31361
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths. - The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles. - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles.
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