# Practice problems of the area of a right triangle

#### Number of problems found: 400

- Isosceles triangle

Find the area of an isosceles triangle whose leg is twice the base, b=1 - ABS, ARG, CONJ, RECIPROCAL

Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate) and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z* and (1/z) on an Argand d - Isosceles right triangle

If the square of the hypotenuse of an isosceles right triangle is 128 cm^{2}, find the length of each side. - Perpendicular 70824

One perpendicular to the right triangle ABC has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Calculate 70804

The garden has the shape of a right triangle and is fenced with a fence length of 364m. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Consider 3

Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - Right-angled 66364

From a rectangular board with dimensions of 2 m and 3 m, we cut isosceles right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the contents of the rest of the board to its total original area. - Perpendiculars 66274

The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Trapezoid 65644

In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Hypotenuse 64694

Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the content of triangle ABC if the line on the hypotenuse is 0.2 dm long and if | ∢ACS | = 30 °. - Triangle 63244

The area of the ABCD square in the picture is 36 cm². The points E and F are the centers of the sides of the square BC and CD. What is the area of the triangle AEF in cm²? - Rectangular 63094

Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long. - Trapezoid

The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm - Circle inscribed

There is a triangle ABC and a circle inscribed in this triangle with radius 15. The point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - 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. - 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? - Parallelogram 49383

The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72 °. Calculate the area of the parallelogram. - Rectangle 49153

Rectangle ABCD, whose | AB | = 5cm, | AC | = 8 cm, ∢ | CAB | = 30 °. How long is the other party and what is its area? - 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°.

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