Planimetry - math word problems - page 102 of 187
Number of problems found: 3735
- Two angles
The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees. - Similarity coefficient
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Right-angled triangle
Determine point C so that triangle ABC is right-angled and isosceles with hypotenuse AB, where A[4,-6], B[-2,10] - Gardening - beet
The father wants to plant beet in spring. He bought at the garden centre a package containing 3 g of seeds. On the back of the package it is stated that for sowing 10 m² of flower bed, 15 g of seed is recommended. The father wants to sow the entire purcha - Circle distance
For circles k1 (S1, 4 cm) and k2 (S2, 3 cm) and it holds that | S1S2 | = 8 cm. Determine the distance between the circles K1 and K2. - Clock face
A clock face is drawn on paper. Straight lines connect numbers 10 and 5, and 3 and 8. Calculate the size of their angles. - Quadrilateral angle circle
The points ABC lie on the circle k(S, r) such that the angle at B is obtuse. How large must the angle at vertex B of quadrilateral SCBA be so that this angle is three times greater than the interior angle ASC of the same quadrilateral? - Clock hands
Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6, and 11 hours. - Segment length
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5 - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - Mushroom pizza
Jirka invited four friends to his home for a home cinema. They agreed to order something to eat. They had pizza delivered from a nearby pizzeria. They ordered ham pizza, cheese pizza, quattro formaggi, mushroom pizza, margherita, and hawaii. Each pizza th - Circle from string
Martin has a long 628 mm string. He makes a circle from it. Calculate the radius of the circle. - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - The coordinates 2
The coordinates of the vertices of the triangle shown are A(1,7), B(5,2), and C(5,7). What is the length of segment AB in units? - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5, 42.5, 52.8 35.0. Calculate its area. - Catheti
One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another leg? - Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - OK circle
The right triangle has hypotenuse long 33 and one leg long 17. Calculate the radius (circumradius) of the circle described.
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