Area of Right triangle Problems - page 25 of 44
Number of problems found: 861
- Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62 cm. Calculate the trapezium area in cm square and calculate how many different perimeters - Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl - Village railway distance
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi - Line segments
Triangle ABC is divided by line segments. Lines DE and AB are parallel. Two lines are drawn from vertex C. The first line intersects points H and F on segments DE and AB. The second line intersects points I and G on segments DE and AB. Triangles CDH, CHI, - Diagonal intersect
Isosceles trapezoid ABCD with length bases | AB | = 6 cm, CD | = 4 cm is divided into four triangles by the diagonals intersecting at point S. How much of the area of the trapezoid are ABS and CDS triangles? - Calculate sides
In the triangle, the side length AB = 6 cm, the height to side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Point distance marking
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Area of triangle
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangle DF - Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - Triangle similarity area
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Lunes of Hippocrates
Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6 cm, b = 8 cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of th - A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal? - MO Z9–I–2 - 2017
In trapezoid VODY, VO is the longer base. The diagonal intersection K divides segment VD in the ratio 3:2. The area of triangle KOV is 13.5 cm². Find the area of the entire trapezoid. - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the perimeter and area of a trapezoid. - Area and two angles
Calculate the size of all sides and internal angles of a triangle ABC if it is given by area S = 501.9; and two interior angles α = 15°28' and β = 45°. - 3 positive charges
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1 m. What is the electric field strength at the center S of side BC, i.e., what force would act on a po - Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4].
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