📐 geometry

1. The problem involves finding the side length and area of the smaller square inscribed inside a larger square with side length 10 cm (since 100 cm² = 10²). 2. The smaller square

1. The problem is to find the side length and area of the inner square formed by connecting the midpoints of the sides of a larger square with side length $10$ cm. 2. The larger sq

1. Við erum gefin að hringgeiri sé 87% af flatarmáli hringsins. 2. Flatarmál hrings er gefið með formúlunni $$A = \pi r^2$$.

1. Staðfesta vandamálið: Gefinn er ferningur með hliðarlengd $x = 20$ cm. 2. Innri ferningur er teiknaður með hornpunkta á miðpunktum hliða stærri ferningsins.

1. Við byrjum á að skilja vandamálið: Við höfum stærri fernings með hliðarlengd $x = 10$ cm og innri fernings sem er snúinn 45 gráður og hornpunktar hans eru miðpunktar hliða stærr

1. **State the problem:** We are given a triangle with angles labeled as $x^\circ$, $2x^\circ$, and $y^\circ = 72^\circ$. We also know an adjacent angle outside the triangle is $58

1. **State the problem:** We are given a triangle with one angle measuring 85° and another angle labeled as $m$. We need to find the size of angle $m$. 2. **Recall the triangle ang

1. **Problem statement:** We are given a figure with seven angles formed by intersecting lines. The known angles are 13°, 24°, and 15°, and we need to find the size of angle $m$. 2

1. **State the problem:** We have three angles around a point. Two angles are given as 113° and 51°. We need to find the third angle and classify it.

1. **State the problem:** We need to find the size of angle $m$ in a figure where six rays extend from a central point, creating six angles around that point. 2. **Recall the rule:

1. **Stating the problem:** We need to find the size of angle $t$ in a diagram where angles $16^\circ$, $27^\circ$, and $17^\circ$ are adjacent and $t$ is the angle opposite their

1. **Problem statement:** We need to find the size of angle $t$ given the other angles around a point: $16^\circ$, $27^\circ$, and $17^\circ$. 2. **Formula and rule:** The sum of a

1. The problem asks us to write an equation for the sum of the angles in a triangle and then use it to find the value of $x$. 2. Important rule: The sum of the interior angles in a

1. **Stating the problem:** We have a composite 3D object made by combining identical small cubes. The object is dipped in red paint, then separated back into the small cubes. We n

1. **Problem Statement:** The questions relate to analyzing 3D cube structures, their levels, factors, and connections in the given images. 2. **Understanding the Problem:** We nee

1. **Problem Statement:** We have a parallelogram WXYZ with an interior angle at vertex V (which corresponds to vertex Y or Z depending on labeling) labeled as 120°. One side, WX,

1. **State the problem:** We have a rectangle ABCD with diagonals intersecting at point E. The diagonal segment AE is given as 20, and the diagonal segment DE is given as $m - 5$.

1. **Stating the problem:** We have two truncated pyramids with given dimensions: base widths, top widths, heights, and depths of the shaded truncated portions. We want to analyze

1. **Problem Statement:** We have two identical triangles on a coordinate grid. The first triangle has vertices at points $(0,0)$, $(0,5)$, and $(2,0)$. The second triangle shares

1. **State the problem:** We have a right triangle composed of two smaller right triangles. One smaller triangle has sides 3 cm and 4 cm, the other has sides $a$ and 4 cm, and the

1. **State the problem:** We need to find the size of angle $x$ inside the triangle. 2. **Recall the rule:** The sum of the interior angles of any triangle is always $180^\circ$.