📐 geometry

1. সমস্যাটি হলো: ত্রিভুজ ADF এর ক্ষেত্রফল কত বর্গ সেন্টিমিটার? 2. প্রথমে, ত্রিভুজ ADF এর ক্ষেত্রফল নির্ণয়ের সূত্রটি মনে করি:

1. **Problem statement:** We have two similar triangles with sides 18 cm, 27 cm, 24 cm for the smaller triangle and sides x, y, 48 cm for the larger triangle. We need to find the v

1. The problem asks: How many degrees are in a straight line? 2. A straight line forms a straight angle.

1. The problem asks for the possible criteria for using the Law of Cosines. 2. The Law of Cosines is used to find unknown sides or angles in a triangle when you have:

1. **State the problem:** We have triangle $\triangle FGH$ with $IJ$ as a midsegment parallel to side $FG$. Given $IJ=11$, $FH=17$, and $GH=21$, find the perimeter of $\triangle IJ

1. **Problem Statement:** We are given triangle $\triangle TUV$ with points $E$, $D$, and $H$ as midpoints of its sides. The side lengths are $UV=40$, $TV=50$, and the segment $HD=

1. **State the problem:** We need to find the volume of a triangular prism. The volume is given by the formula: volume = area of the triangular base \( \times \) height of the pris

1. **State the problem:** We need to find the approximate volume of a cylindrical aluminum can with height $h = 8$ inches and radius $r = 1.5$ inches. 2. **Formula for volume of a

1. **State the problem:** We need to find the volume of a rectangular prism with height $35$ cm, width $39$ cm, and depth $27$ cm. 2. **Formula for volume of a rectangular prism:**

1. **State the problem:** We need to find the surface area of wrapping paper required to cover a present with dimensions 6 in. long, 5 in. wide, and 3.5 in. tall. 2. **Formula used

1. **State the problem:** We need to find the surface area of a hemisphere with radius $r=57$ meters, including the circular base. 2. **Formula used:** The surface area $A$ of a he

1. The problem asks for the exponent used to express the volume of a cube with edge length 21 cm. 2. The formula for the volume $V$ of a cube with edge length $a$ is:

1. **Problem statement:** We are given a triangle QRP with points R, S, and P on a straight line (RSP). The angle \(\angle QSP = 80^\circ\) and line QS is perpendicular to RS. We n

1. **Problem statement:** We have a 30-60-90 right triangle. The altitude to the hypotenuse is divided into two segments of lengths $x$ and $y$ by the median to the hypotenuse. We

1. **Problem Statement:** We have three polygons: an equilateral triangle, a rhombus with a 60° angle, and a regular hexagon. Each contains mutually tangent congruent disks. We den

1. **Problem Statement:** Calculate the area of each triangle and trapezoid given their dimensions. 2. **Formula for Area of Triangle:**

1. **State the problem:** We have two rectangles with the same perimeter. The green rectangle has width 11 mm and height 18 mm. The orange rectangle has height 4 mm and an unknown

1. **State the problem:** We have two rectangles with the same perimeter. One rectangle has dimensions 14 ft by 2 ft, and the other is a purple square with side length 7 ft. We nee

1. **State the problem:** We have two rectangles with the same perimeter. The first rectangle has sides 19 km and 17 km. The second rectangle has one side 15 km and the other side

1. **State the problem:** We need to find the perimeter of a sector of a circle where the arc length is 21 cm and the central angle is 120 degrees. 2. **Recall the formula for the

1. **Problem Statement:** We need to find the scale factor to reproduce a blueprint so that its area becomes 45 square inches and it fits on a standard sheet of paper. 2. **Underst