In the diagram below of right triangle ABC, altitude BD is drawn to hypotenuse AC. B A D If BD = 4, AD=x-6, and CD =x, what is the length of CD?

Q: Let a and b be the lengths of the legs and let c be the length of the hypotenuse of a right…

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Q: is 9 meters long and line segment BC, is 7 7. In triangle ABC below, the line segment AB, meters…

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Q: 2. In the diagram, which construction is being demonstrated? A B A. The first marks for constructing…

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Q: Given the triangle shown with base b and height h: Assume that b + h = 25; what formula will…

A: Given, base = b Height = h b +h =25  We have to find the area of triangle that will maximize the…

Q: In the right triangle CDE, m∠ D =34°and the right angle is at vertex E. Find the measure of ∠

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Q: Let a and b the lengths of the legs of a right triangle, and c be the length of the hypotenuse…

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Q: The area of the inner triangle ABC is ¼ that of triangle ADE. AB =45 m., AD = 65m., AE = 90 m. Point…

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Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC= 20. Find the…

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Q: In the diagram below, quadrilateral ABCD is inscribed in circle P. /110" 72 What is mZADC? 2) In…

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Q: _8. In the diagram below of right triangle ABC, altitude CD is drawn to hypotenuse AB. If AD = 3 and…

A: The close look at angle C shows that it is right angle. Consider the angle A is o and the angle B is…

Q: ABC is a right triangle with a right angle at A. Given that L1 is 11 m, L2 is 15 m and L3 is 22 m.…

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Q: Triangle XYZ is congruent to Triangle ABC, AB = 8x + 33, XY = 2x + 57, BC = 3x + 48. Find the…

A: Given ,  Triangle XYZ is congruent to Triangle ABC AB = 8x + 33 , XY = 2x + 57, BC = 3x + 48 We have…

Q: Suppose the parallelogram ABCD shown below has diagonals AC = 9 and BD = 9. What is the length of…

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Q: An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the…

A: Since shorter side is 21 cm, 2x will be the longest side. Since the given triangle is acute, the…

Q: In triangle ABC shown find BC. (5d - 3) ст (3d + 7)cm C. A

A: Given,

Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC = 20. Find…

A: Note the result in respect of triangle : Area of triangle is 12·Base·Height  . In right angle…

Q: 19. a) Find the length of AD, if BD is a perpendicular bisector of AC. 4x + 6 BE 2x + 18 A b) What…

A: i have used pythagorus theorem for right angle triangles that is square of length of hypotanious…

Q: In the diagram below of triangle cde, F is a midpoint of CD and G is a midpoint of DE. if FG=9x-59,…

A: We have to find the measure of CE  For this we will use mid point theorem

Q: In the diagram below of isosceles trapezoid ABCD, AB=CD=25, AD=26, and BC=12. What is the length of…

A: Due to symmetry in the right triangles both sides AE = FD = 7

Q: Consider the following right triangle with sides a, b, and c in which c is the hypotenuse.  If the…

A: Given right triangle with sides a, b, and c in which c is the hypotenuse. Here c=hypotenuse=9, we…

Q: Given right triangle ABCABC with altitude BD‾BD drawn to hypotenuse AC‾AC. If AD=7AD=7and DC=5,DC=5,…

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Q: 1. For the right triangle pictured with legs that have lengths a and b and with a hypotenuse of…

A: Explanation of the answer is as follows

Q: 9. AABC is an isosceles triangle with AB BC. If AB = 3x + 41, BC = 8x – 54, and AC = 12x– 103, find…

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Q: The following problem refers to triangle ABC. If A = 60° , B = 30° , and b 14 cm, find C and then…

A: In triangle ABC  A = 60o, B = 30o, b = 14 cm A + B + C = 180 => C = 180 - A - B  => C = 180 -…

Q: In the figure below, the length of AC is 5 and the distance between B and center C is 13. C 134.8° D…

A: We know that when a tangent is drawn to a circle from an external point, then at the point of…

Q: _2. In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm,…

A: Given△ABC is right angled triangle.AC=6cm , BC=8cm.    To find :AD  in △ADC.

Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC= 20. Find the…

A: Given: BD=6AC=20∠A=30°area∆BCD=13area∆ABC By the sine law for area of a triangle, we have…

Q: In the diagram of the light tower below, AEFJ is an isosceles trapezoid. C and H are mid…

A: Here we have AEFG is an isosceles trapezoid. C and H are mid points and D and G are also mid points.…

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 5 and AC = 55, what is the…

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Q: In the diagram in Example 4, suppose segment ST = 32, and CU = CV = 12. Find the given length. %3D…

A: Solve the following

Q: 5. In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm,…

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Q: Given triangle A ABC, we have that B = 110°,C= 40°, and b= 18 inches Find c, round to the nearest…

A: Consider the provided information, B=110°,C=40° and b=18inches Find the value of c. Apply the sine…

Q: The problem refers to triangle ABC. If A = 5°, C = 115°, and c = 560 yd, find a. (Round your answer…

A: Use the sine rule of triangle and simplify to get the answer.

Q: In the diagram below of triangle CDE, F is a midpoint of CD and G is a midpoint of DE. If FG = 9x –…

A: Midpoint Theorem : Line segment joining the midpoints of two sides is always parallel and half in…

Q: In the figure below, if BE is the perpendicular bisector of AD, what is the length of segment AB? B…

A: We have to determine the length of segment AB

Q: In the diagram below of right triangle ABC, altitue CD is drawn to hypotenuse AB. 32 If AD= 3 annd…

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Q: The perpendicular bisectors of triangle ABC meet at point D. Find DB, DC and AE.

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Q: In right triangle AACE below, BD is parallel to AE, and BD is perpendicular to EC at D. The length…

A: If ∠BCD=x=∠ACE, then,sinx=3BC=AE20Here, BD=3, DC=4. Then, we haveBC2=32+42=25⇒BC=5

Q: In the accompanying diagram of right triangle ABC, CD is drawn perpendicular to hypotenuse AB. If AB…

A: The cosine (cos) of an acute angle in a right triangle is the ratio of the side adjacent of the…

Q: 1. In the diagram, each side of quadrilateral ABCD is tangent to OJ. Find the perimeter of the…

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Q: In the accompanying diagram of triangle XYZ and triangle ABC, LX LA and ZY LB. If XY = 5, YZ 12, and…

A: Here the two angles of one triangle is congruent with angles of other triangle so we can say that…

Q: In triangle ABC, angle c = 90, side AC is horizontal; find the length of the hypotenuse if AC = 20…

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Q: In the figure below, points D, E, and F are the midpoints of the sides of AABC. Suppose DF=34,…

A: Given:-DF = 34, AC = 48 & BC = 78 We have to find DE, AB & BE

Q: 6. If APOR is an equilateral triangle, PQ = 18x + 1. QR=24x-17, and PR= 15x+ 10, find x and the…

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Q: In the figure, AABC is an isosceles triangle in which AB = AC and BAC = 20°. If CBF = 50° and BCD =…

A: In an isosceles triangle, the angles opposite to the equal sides are equal. The sum of the angles of…

Q: . In the triangle shown, GH || DF. E H 3 D What is the length of GE?

A: GH ιι DFso ∆EGH and ∆EDF are similar.

Q: In the right triangle shown, mZY= 30° and XY = 6. Z . 30 Y How long is Y Z?

A: From the given right triangle, we find the length of YZ

Q: If the hypotenuse of a right triangle is known, what is the ratio of the base and the altitude of…

A: Let base = b and height = hSo, the hypotenuse=b2+h2=c (constant)From b2+h2=c we…