# Pythagorean theorem - practice problems - page 2 of 58

#### Number of problems found: 1145

- Perpendicular 67174

Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93cm and the perpendicular t = 48 cm - Perpendiculars 66274

The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Circumference 66134

The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Mr. Bradshaw

Mr. Bradshaw is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 5 meters high. The base of the ladder is 1 meter away from the house, where Mr. Bradshaw's son is holding it steady. How lo - 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. - Calculate 65014

The radius of the circle is 5.5 cm. The height is 2.3 cm, and it is the distance of the chord. How can we calculate the length of the string? - Parallelogram 64414

The parallelogram has side a = 58cm and diagonals u = 89cm, v = 52cm. Calculate the perimeter and area of this parallelogram. - Centimeter 64224

A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter. - Right-angled 64084

A right-angled triangle ABC with sides 5 cm and 12 cm is described by circle k. Calculate the length of circle k in centimeters. When calculating, use π = 3, 14 and round the result to tenths. - String 63794

In the circle k with a radius of 13 cm is the chord AB. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string? - Triangle's 63774

Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. - 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. - Dedicated 62673

The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can place at a distance of 18 dm at the bottom? - Right triangle generator

Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator? - Iso triangle

An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle. - Radio radius

Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - The diagonals

The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Cosine

Cosine and sine theorem: Calculate all missing values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - 11990 perimeter RT

A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.

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