📐 geometry

1. The problem states: "AD = 3m, not AB". We need to understand the relationship between points A, B, and D. 2. Since AD is given as 3 meters, and AB is not equal to AD, we know AB

1. Stating the problem: We have a pyramid ABCS with base ABC being a right triangle with legs $|AB|=6$ and $|AC|=8$. The lateral edges $|AS|=|BS|=|CS|=10$. We need to find the volu

1. The problem asks to identify the major radius from the given options: 2.5, 4, 2, and 5. 2. The "major radius" typically refers to the larger radius in a system where two radii a

1. ප්‍රශ්නය: අරාව $a$ වන මෙනිස් බෝල් 3ක් එකිනෙකට ඉහළින් සෙපදවූ රැපුලේ ඉතිරි පරිමාව සොයා ගැනීම.

1. **State the problem:** We have two parallel lines \(a\) and \(b\) cut by two intersecting lines, creating angles labeled \(123^\circ\), \(81^\circ\), \(116^\circ\), \(x^\circ\),

1. **State the problem:** Kali has a 6 meter ladder leaning against a tree. The base of the ladder is 2 meters from the tree. We need to find how high the ladder reaches on the tre

1. **State the problem:** We have a right triangle with vertices Aurora, Burlington, and Clifton. The side Aurora-Burlington is 65 km, Burlington-Clifton is $x$ km, and the hypoten

1. Let's define the problem: We want to find how much closer the direct travel distance from Aurora to Clifton is compared to traveling from Aurora to Clifton via Burlington. 2. Su

1. The problem asks how much closer it is to travel directly from Aurora to Clifton compared to traveling from Aurora to Clifton through Burlington. 2. We are given the distances:

1. **Statement 36:** The perpendiculars drawn from the vertices of a triangle to the opposite sides are known as the altitudes of the triangle. - Conclusion I states that the line

1. Problem 41: What is the measure of angle A in \(\triangle ABC\)? - Statement (1): \(\angle B = 60^\circ\)

1. **State the problem:** We have triangle PQR with an inscribed circle touching sides at points A, B, and C. Given:

1. The problem states that a shape is first rotated clockwise by 45° and then anticlockwise by 90°, resulting in image X. We need to find the original image before these rotations.

1. **Problem:** One angle of a triangle is 70°. The other two angles are in the ratio 3:2. Find the measure of the other two angles. Step 1: Let the other two angles be $3x$ and $2

1. The problem asks to identify the true statement among four options about chords and radii in a circle. 2. (a) Chord AC is bigger than chord BC: Without specific lengths or a dia

1. Problem: One angle of a triangle is 70°. The other two angles are in the ratio 3:2. Find the measure of the other two angles. Step 1: Let the other two angles be $3x$ and $2x$.

1. Énonçons le problème : Nous avons un triangle rectangle en M avec les points M, E, D.

1. **State the problem:** We have a right-angled triangle ABC with angle B = 90°. 2. **Given:** Hypotenuse AC = 13 cm, one leg BC = 5 cm.

1. The problem states that two adjacent angles of a parallelogram are in the ratio 3:2. We need to find the measure of each angle. 2. Let the measures of the two adjacent angles be

1. The problem involves two curves intersecting: (ii) a circle centered at $O(0,0)$ with radius 1, and (i) a blue curve intersecting the circle at points $A(\frac{1}{2}, \sqrt{2})$

1. **State the problem:** We are given a parallelogram ABCD with sides AB = 15 cm and BC = 7 cm. We need to find the perimeter of ABCD. 2. **Recall the property of a parallelogram: