Triangle practice problems - page 15 of 126
Number of problems found: 2520
- Distance two imaginary numbs
Find the distance between two complex numbers: z1=(-8+i) and z2=(-1+i). - Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C? - In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a? - Triangle perimeter ratio
The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm? - A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem. - The triangle - sides
The two sides of the triangle have side lengths a = 6 cm and b = 13 cm. Then the following applies to the length of the third side c: (A) 7 - Triangle perimeter height
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. - Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B? - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Triangle angle ratio
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size. - Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. - Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle? - Sine theorem 2
From the sine theorem, find the ratio of the sides of a triangle whose angles are 30°, 60°, and 90°. - Triangle circumference calculation
The sides of the triangle are in a ratio of 3:4:6. One side of it measures 21 cm. Calculate its circumference. - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400 m? - Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=? - Double ladder
The double ladder is 8.5 m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach? - Perimeter triangle
In the triangle ABC, there is a side c = 5 cm and medians ta = 6 cm (median to side a), tb = 4.5 cm (median to side b). Find the perimeter of the triangle ABT (T = center of gravity). - Triangle shoulder length
The circumference of the isosceles triangle is 7.8 cm, and the base length is 34 cm. How long are his shoulders?
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