![]() ![]() If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place.Ī square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Calculate the side lengths and perimeter. Calculate the perimeter of the trapezoid AB B 1 A 1. Determine the side length of the triangle OSA if the triangle MAK is congruent to the triangle OSA.įind the points A1 B1 symmetric along the y-axis to the points A, B. This is the largest equilateral that will fit in the circle, with each vertex touching the circle. The perimeter of triangle MAK is 216 mm, side a = 81 mm, and side k = 62 mm. How to construct (draw) an equilateral triangle inscribed in a given circle with a compass and straightedge or ruler. Draw a set of points 2 cm away from line AB. Who sees the podium at the greatest angle?ĭraw the line segment AB, AB = 5 cm. Spectators K, L, M, N, and O, sit around the perimeter. A podium is the diameter of a semicircle. The theater has the shape of a semicircle. Determine the size of its sides if its perimeter is 16 cm.ĭetermine which type of quadrilateral ABCD is and find its perimeter if you know coordinates of vertices: A/2,4 /, B / -2,1 /, C / -2, -2 /, D/2, -5 /. The median of the isosceles triangle has a length of 3 cm. Find the lengths of its sides.Īs shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE Two similar triangles, one has a circumference of 100 cm, the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Calculate the perimeter of the second triangle.Ĭalculate the area and perimeter of the right triangle ABC if A B C The first one has a base of 12 cm and a leg of 9 cm. Two isosceles triangles have the same angle at the vertex opposite the base. Which of the spectators, P, Q, R, S, T, sees the stage at the greatest viewing angle? The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. ![]() c) Find the length of the inscribed circle b) Decide what type of triangle the triangle ABC is. Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. Calculate the perimeter of the triangle S 1S 2S 3. Color them and calculate the circuits and areas KLMN: KL = 5CM LM = 3CM rectangle OPQR OP = 4cm PQ = 3.5cmĬonstruct a circle k1 (S1 1.5 cm), k2 (S2 2 cm), and K3 (S3 2.5 cm) so that they are always two outer contacts. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle).ĭraw rectangles. The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate the circumference of this triangle. The circle radius described in the right triangle with a 6 cm long leg is 5 cm. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. ![]()
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