The best formula to use when finding the area of a triangle given two sides and the included angle is Heron's formula. O True O False

Q: Use Heron's Formula to find the exact area of a triangle that has lengths of sides 4 cm, 13 cm, and…

A: Given: The lengths of sides of a triangle are 4 cm, 13 cm, 15 cm. The area of the triangle can be…

Q: If A = B = C = are the coordinates of a triangle, compute: A с B length of AC units length of AB…

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Q: what is the area of a triangle with sides a and b and an included angle.

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Q: A right triangle has a base of 4, a hypotenuse of 12, the height is not given. What is the measure…

A: we apply the sine rule to find unknown angle

Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: Are the triangles similar? If so, which similarity theorem is used?

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Q: Find the sum of the interior angles of a dodecagon. Show your work to support your answer. B I !!!

A:

Q: a) 3 сm 4 cm 5 сm

A: The formula for the Pythagoras theorem helps to validate the given statement. The formula for the…

Q: In right triangle ADE shown, AC = 12, CE = 10, and AB = 10. What is the length of DE? E A B

A: Topic = Triangles

Q: A right triangle has a base of 7, a hypotenuse of 11, the height is not given. What is the measure…

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Q: Sketch all triangles with a reference angle of 27°. T 05 BO 15 0.5 0.5 1.5 05

A: Here, the given angle is 27° which is in the first quadrant.

Q: 4 Cm Fc llcm F

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Q: Can the sides of a triangle have lengths of 7.8, 0.2, and 7.3? If so, what kind of triangle is it?…

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Q: Show that the sum of the angles in a triangle is r.

A: Given that, the statement is "the sum of the angles in a triangle is π. In order to prove the…

Q: The sides of the parallelogram are 8cm and 12cm, find the shorter diagonal and the area if the…

A: Given-  The sides of the parallelogram are 8cm and 12cm. To Find- The shorter diagonal and the area…

Q: Use the law of cosines to find a triangle with an angle of 120° and adjacent sides of length 10 and…

A: In this question we have to find the remaining side of the triangle and Area of triangle.

Q: If the two triangles below are similar, which angle is congruent to ZB? X 2 6 5 3 10 8.

A: Given triangles are:

Q: 1) Describe the information you need to have in order to use the Pythagorean Theorem to find the…

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Q: Is it possible for a triangle to be: a) an acute isosceles triangle? b) an obtuse isosceles…

A: Triangles are the two-dimensional figures bounded by three sides. The triangles are classified on…

Q: a. Draw a right triangle with legs of 6 cm and 8 cm. Measure the lengthof the hypotenuse.b. If you…

A: a. Draw a right triangle with legs of 6 cm and 8 cm. Measure the length of the hypotenuse.b. If you…

Q: Solve for the missing sides using pythagorean theorem or special right triangle rules. 15 :: 5/3 :…

A: Given here we have given the right angle triangle  we name it right angled  ∆ABC we have to find…

Q: To measure the width of a sinkhole on his property, Michael marked off congruent triangles as shown…

A: To show that lengths of AB and A'B' are equal

Q: Are these triangles similar? If so, which theorem can be used to prove your answer? Yes No

A: given triangle are similar

Q: Use the cosine law to determine the length of side c, to the nearest tenth of a metre, given that a…

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Q: What do you do first if you are asked to find the area of a triangle and are given two sides and the…

A: Two sides and the included angle. The area of the triangle is, A=12absinC, where a & b are the…

Q: In right triangle ADE shown, AC = 12, CE = 10, and AB = 10. What is the length of DE? %3D 22 VII 5…

A: The given triangles has length, AC=12, CE=10 and AB=10

Q: The converse of the Pythagorean Theorem is used to find the length of the missing side in a…

A: The converse of Pythagorean theorem tells that if the square of longest side is equal to the sum of…

Q: What is the measure of Zx? Angles are not necessarily drawn to scale.

A: The value of ∠BOC=35∘ The objective is to find the value of x∘

Q: Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. 62…

A: Right triangle follow the Pythagorean Theorem .  H2 = B2 + P2 Here H is the hypotenuse and B is the…

Q: To find the area of a triangle given two sides and an included angle, you can use Heron's formula. O…

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Q: The exterior angles of a pentagon are (x + 5)°, (2x + 3)°, (3x + 2)°,(4x + 1)° and (5x + 4)°…

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Q: Look at ZUVY and ZYVW in the image below. Which of the following is the best description for this…

A: Two angles are known as supplementary angle when sum of measures of two angle is 180°.

Q: Use a triangle similarity theorem to show that the triangles Are similar. 3.5 B 8 A E

A: From triangle CBD, CB=4 and CD=3.5 From triangle CAE, CA=4+8=12 and CE=3.5+7=10.5 CB/CA=4/12=1/3…

Q: se the Angle Addition Postulate to determine the measure of ZBXE

A: Given: To find: measure of ∠BXE

Q: While at a baseball game, Damian and Anita noticed that the distance between home plate, the second…

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Q: The area of a sector of a circle with a central angle of 60° is given by 60T. What is the area of…

A: Explanation of the answer is as follows

Q: A side of the triangle below has been extended to form an exterior angle of 72°. Find the value of…

A: The solution is given below.

Q: (3x + 1)° (2x – 1)° H J

A: Find all the angles

Q: Find the area of a triangle with sides \(a=10,\:b=15\\) and included angle 70 degrees.

A: Area of triangle =1/2 ab sin(x) a,b are two sides and x is angle.

Q: Suppose that ABCD is a square, and that CDP is an equilateral triangle with P outside the square.…

A: Let We have to draw a house (a square with a triangle on top). Construct in a way that., 1) Point D…

Q: Why does the area formula for a triangle work for an acute triangle

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Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: Name an angle in the figure that is adjacent to angle 2. 1 5 4 3 O 26 O Z1 6.

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Q: A triangle has side lengths of 10 in., 16 in., and 18 in. Classify it as acute, obtuse, or right. A.…

A: Let a, b and c  are the sides of a triangle.     Consider, 'c' as the longest side and 'a' and 'b'…

Q: Find the measure of each numbered angle and name the theorems that justify your work. 6. m21 = x +…

A: Consider the following figure: m∠1=x+10°m∠2=3x+18°

Q: Find the exact length of the are intercepted by a central angle of 0 on a circle of radius r. b) 0 =…

A: Given, Central angle = θ = 220°  Radius of circle = r = 6 cm  We have to find the length of the arc.…

Q: Use the Law of Cosines to determine the indicated ongle B Assume a 138.5, 58 3, and c = 152.5. Roind…

A: Given : Length of sides of a triangle a = 138.5, b = 58.3, c = 152.5   To find : Angle  θ by…

Q: Find the measure of the bolded angle. 6x + 10 10x + 10 The measure of this angle is

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Q: The formula for area of a triangle works for acute and right triangles, but not for obtuse…

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