📐 geometry

1. **הגדרת הבעיה:** יש לנו משולש שווה-צלעות שכל אחת מצלעותיו באורך 9 ס"מ. 2. **מידע שניתן:** גובה המשולש הוא 5 ס"מ מנקודה על הצלע התחתונה לפסגה.

1. To find the surface area, we first need the description or formula of the surface. Please provide the equation or shape you are referring to. 2. Once the surface is defined, the

1. The problem describes an equilateral triangle with all sides equal. 2. Given two sides are 5 cm, but the base is labeled 9 cm, which contradicts the equilateral triangle propert

1. Let's identify the elements and properties of the kite from the given information. 2. The kite has two pairs of equal sides: the top pair each labeled $a$, and the other sides a

1. Stating the problem: We have points $A(-4,6)$ and $B(-1,-3)$, and we want to find point $P$ on the $x$-axis such that $P$ is equidistant from $A$ and $B$. Since $P$ lies on the

1. **State the problem:** We have a triangle ABC with a circle centered at point O inside it. Angle at vertex A is given as 46°.

1. Stating the problem: We are given two points, P(-2, -2) and Q(x, 2), and the length of the line segment PQ is 5 units. 2. Use the distance formula between two points $P(x_1, y_1

1. The problem asks for the length of a line segment with endpoints at coordinates $(1,2)$ and $(5,6)$ on the Cartesian plane. 2. To find the length of a line segment between point

1. **State the problem:** We are given points $A=(-5,5)$ and $B=(3,7)$ and must find point $P$ on the y-axis such that $P$ is equidistant from $A$ and $B$. 2. **Analyze the problem

1. Given a rhombus with diagonals intersecting at the center, one half of the horizontal diagonal is $2.5$ units and one half of the vertical diagonal is $5.5$ units. 2. The length

1. הבעיה: יש לנו יהלום שמחולק לארבעה משולשים על ידי שתי קווים ניצבים. 2. ניתן לראות שהזווית העליונה ימנית היא $45^\circ$.

1. Stating the problem: We have a circular park with pathways connecting the main road to gates and an exit. 2. Given: Distance from main road to Gate 2 is 70 m and the path from G

1. The problem describes a graph with points labeled 96, 137, 111.99, 80.90, 1440, and 25.10 related to labels "H.T.T" and "M25.10" connected by line segments and curves resembling

1. We are given a set of angle options: 10, 66, 165, 115, and 135 degrees. 2. To find possible mixes or matches, we might consider sums, differences, or relationships such as suppl

1. **Statement of the problem:** We are given four geometric setups involving angles labeled with expressions in terms of $x$, $y$, $z$, and some numerical angles. We need to find

1. **State the problem:** We need to find the midpoints of the line segments AB, EF, and CE, and the distances between points AC, BC, AF, and DF given the points:

1. **Stating the problem:** In triangle AABC, the sides are given by AB = $x$ cm, BC = 5 cm, and AC = $(10 - x)$ cm. We need to:

1. Find the measure of arc QS given angle at tangent Q is 128°. The angle formed between a tangent and a chord is half the measure of the intercepted arc.

1. **State the problem:** We need to find the volume of a rectangular prism with length $l = 8$ cm, width $w = 3$ cm, and height $h = 5$ cm. 2. **Understand the formula:** The volu

1. **Problem 1 setup:** Given the equation:

1. **State the problem:** We have a circle with an inscribed triangle PQR, where the angles at points near P are 46° and 70°. 2. **Identify given angles:** Angle QPR is adjacent to