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Magazine Problem 10
If two similar kites have perimeters of 21 and 28 , what is the ratio of the measures of two corresponding sides?
Problem 13
The ratio of the measures of the sides of a quadrilateral is 2: 3: 5: 7 If the figure's perimeter is \(68,\) find the length of each side.
Problem 13
Prove that if an acute angle of one right triangle is congruent to an acute angle of another right triangle, the triangles are similar. (GRAPH CANT COPY)
Problem 13
Prove that the ratio of corresponding altitudes of similar triangles is equal to the ratio of any pair of corresponding sides of the triangles.
Problem 14
Prove that if the vertex angle of one isosceles triangle is congruent to the vertex angle of a second isosceles triangle, the triangles are similar.
Problem 14
Find the positive arithmetic and geometric means between each pair of numbers. Note which mean is greater in each case. a 8 and 50 b 6 and 12
Problem 15
If 4 is a mean proportional between 6 and a number, what is the number?
Problem 16
Draw a triangle. Using some point \(P\) in the interior of the triangle as the point of dilation, draw a triangle twice the size of the original triangle.
Problem 17
From two points, one on each leg of an isosceles triangle, perpendiculars are drawn to the base. Prove that the triangles formed are similar.
Problem 19
a One side of a triangle is \(4 \mathrm{cm}\) longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into \(5-\mathrm{cm}\) and \(3-\mathrm{cm}\) segments. Find the perimeter of the triangle. b If the first side of the triangle in part a were \(x\) cm longer than the second side and the other information were unchanged, find the triangle's perimeter in terms of \(x .\)
