Finding Congruent FiguresTwo of these three triangles are congruent. Choose the triangle that is not congruent to the other two.2.8 cm2.1 cm5873629452.6 cm2.8 cm58°2.6 cm2.6 cm 642.6 cm2.8 cm457627321 cm

Answered: Image /qna-images/answer/31f86d54-f5c9-48c1-8513-1841259530d4.jpg

Answered: Two of these three triangles are…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section: Chapter Questions

Problem 1MCQ

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Pythagorean Theorem In these exercises we use the converse of the Pythagorean Theorem (see page 277) to show that the given triangle is a right triangle. Show that the triangle with vertices A(6,7),B(11,3), and C(2,2) is a right triangle by wing the converse of the Pythagorean Theorem. Find the area of the triangle.
Use the drawing provided for the proof of the theorem The line segment that joins the midpoints of two sides of a triangle is parallel to the third side of the triangle. Proof: Given ABC with vertices as shown, let M and n name the midpoints of sides CB- and AB-, respectively. Then
Solve these exercises. The area of the irregularly shaped sheet metal piece in the following figure on the left is to be determined. The longest diagonal is drawn on the figure as shown in the figure on the right. Perpendiculars are drawn to the diagonal from each of the other vertices. The perpendicular segments are measured as shown. From the measurements, the areas of each of the common polygons are computed. This is one method often used to compute areas of irregular figures. Compute the area of the sheet metal piece.
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and h is given by d=l2+w2+h2. Use this formula to find the length of the diagonal when l=12in., w=4in., and h=3in.
CONCEPTS For triangle ABC with sides a, b, and c the Law of Cosines states c2=
Hexagon ABCBAD is determined when the open figure with vertices A, B, C, and D is reflected across DC. a How many diagonals does ABCB' A' D have? b How many of the diagonals from part a lie in the exterior of the hexagon?
Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a phone cable from City A to City B, which lies on the opposite bank 5 miles down the river. You will lay L miles of the cable along the north shore of the river, and from the end of that stretch of cable you will lay W miles of cable running under water directly toward City B. See Figure 2.108. Figure 2.108 You will need the following fact about right triangles: A right triangle has two legs, which meet at the right angle, and the hypotenuse, which is the longest side. An ancient and beautiful formula, the Pythagorean theorem, relates the lengths of the three sides: Lengthofhypotenuse=Lengthofoneleg2+Lengthofotherleg2 a. Find an appropriate right triangle that shows that W=1+(5L)2 b. Find a formula for the length of the total phone cable P from City A to City B as a function of L. c. Make a graph of the total phone cable length P as a function of L, and explain what the graph is showing. d. What value of L gives the least length for the total phone cable? Draw a picture showing the least-length total phone cable.
Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Plans call for triangle BCDto be sheared off a corner of a rectangle as shown in the figure. A decision is made to move one vertex of the triangle 1.5 in. from B to B' and the other vertex from D to D'. How much larger is the area of AB' D' than ABDEF ?

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Two of these three triangles are congruent. Choose the triangle that is not congruent to the other two. 2.8 cm 2.1 cm 58 45 2.6 cm 73° 62 2.8 cm 58 2.6 cm 2.6 cm 64° 2.6 cm 2.8 cm 45% 62 739 2.1 cm