📐 geometry

1. The problem involves finding unknown angles or lengths in a geometric figure with a circle and star shape, where angles 60° and 70° are given at point S. 2. To solve problems in

1. The problem is to find the location of the point with coordinates $(2,3)$ on the Cartesian coordinate plane. 2. The Cartesian plane consists of two perpendicular number lines: t

1. **Problem Statement:** Determine if triangle BED is equilateral given that angles at B and E are 60° and markings indicate equal sides. 2. **Recall:** An equilateral triangle ha

1. **Problem statement:** Determine if triangle BED is equilateral given that angles at B and E adjacent to diagonal BE are 60° each and sides BD and DE are equal. 2. **Given:** \(

1. Problem 19: Show that points (-1, -1), (2, 8), and (5, 17) are collinear. 2. To prove collinearity, we check if the slope between each pair of points is the same.

1. **Problem:** Show that the points (-2, 10), (3, -2), and (15, 3) are vertices of an isosceles triangle. 2. **Formula:** To check if a triangle is isosceles, calculate the distan

1. The problem is to understand the concept of a ladder, which is typically a tool used to climb to higher places. 2. A ladder can be described mathematically in problems involving

1. **Problem statement:** Given that triangles $\triangle ABC$ and $\triangle PRQ$ are similar, find the unknown values $x$ (angle $Q$) and $y$ (side $BC$). 2. **Similarity rules:*

1. **State the problem:** We need to find the length of side $SR$ in triangle $PSR$, which is isosceles with $PS = SR$. Given $PR = 16$ cm and the area of triangle $PSQ$ is 40 cm²,

1. **State the problem:** We need to find the furthest distance from the front of the stage (point D) where the lighting crew should place a mark so that any actor under 1.9 m tall

1. **State the problem:** We need to find the area of a right triangle with base $\sqrt{108}$ cm and height $4.8$ cm. 2. **Formula for the area of a triangle:**

1. **State the problem:** Find the area of a right triangle with height $48$ cm and base $\sqrt{108}$ cm. 2. **Formula for the area of a triangle:**

1. **State the problem:** We have a parallelogram with sides $a=6$ and $b=8$, and a diagonal of length $12$. We need to find the area $S$ and the height $H$ corresponding to side $

1. **Énoncé du problème :** Déterminer une équation cartésienne de la droite médiatrice du segment [AB] avec A(5,4) et B(3,6).

1. The problem asks: The smallest angle of a triangle is always opposite the ___________ side. 2. In any triangle, the size of an angle is directly related to the length of the sid

1. **State the problem:** Determine which sets of side lengths can form a triangle. 2. **Triangle inequality rule:** For any three sides $a$, $b$, and $c$ to form a triangle, the s

1. **State the problem:** Find the distance between the points $(-6, -3)$ and $(4, -7)$ using Pythagoras' theorem. 2. **Formula:** The distance $d$ between two points $(x_1, y_1)$

1. **State the problem:** We have a solid triangular prism with right-angled triangular bases. The base and height of the triangle are $20x$ cm and $15x$ cm respectively, and the h

1. **State the problem:** We have two right-angled triangles sharing a common hypotenuse $z$. The larger triangle has legs 12 cm and 14 cm, and the smaller triangle inside it has o

1. **Problem:** Find the area of a triangular plot of land with sides 240 ft, 300 ft, and 360 ft. 2. **Formula:** Use Heron's formula for the area of a triangle when all sides are

1. The problem is to find the area of a circle using a method suitable for primary six students. 2. The formula for the area of a circle is given by $$\text{Area} = \pi r^2$$ where