# Triangle practice problems - page 2 of 119

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.#### Number of problems found: 2361

- EE school boarding

Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - RST triangle

Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm - Prove 2

Prove that the minimum number of straight single cuts/strokes needs to divide a given right-angled triangle or an obtuse-angled triangle into a collection of all acute-angled triangles is seven(7). - Double sides

If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle.

- The angles 6

If the angles of a triangle are in the ratio 2 : 3: 4. Find the value of each angle. - A right triangle

A right triangle has legs with lengths of 24 cm and 21 cm if the length of the hypotenuse, in cm, can be written in the form of 3 sqrt(d), then what is the value of d? - An isosceles triangle

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 in - Let z 2

Let z = 2 - sqrt(3i). Find z^{6}and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3 - A triangle 10

A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)?

- Mrs. Clarke

Mrs. Clarke is teaching a 5th-grade class. She is standing 40 feet in front of Valeria. Sarah is sitting to Valeria's right. If Sarah and Mrs. Clarke are 50 feet apart, how far apart are Valeria and Sarah? - A tree 2

A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree . Find the original height of the tree. - FGH right triangle

Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g? - An equilateral triangle 2

If the sides of an equilateral triangle be increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - A right 3

A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .

- Sides to area

If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area? - The triangle 6

The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning. - Triangular field

Find the area of a triangular field whose sides are 78m, 50m, and 112m. - A triangle 9

A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base? - Find area 2

Find the area of the green region in the given picture. Dimensions are shown.

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