Determine the angles and sides of all possible triangles ABC with A = 20°, a = 30 m and b = 40m. If no such triangle can exist, explain clearly why not.

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

A: Given Data The angle is θ=-π/4.   The expression for the coterminal angle is,

Q: In AABC, 2C is a right angle, AC = 5.2, and AB = 21.3. Draw the triangle and solve for the measure…

A: Given AB=21.3 AC=5.2 C is right a right angle

Q: Consider a general triangle with side lengths A, B, and C, with the angles opposite sides A, B, and…

A:

Q: From the given triangle, give the name of the sides described in the following. 1. opposite side of…

A: According to our guidelines, I am answering question number 1.

Q: By considering the given sides of the triangle, we can tell that angle 0 is: 2 cm 9 cm greater than…

A: Suppose the triangle is as below :

Q: In a triangle ABC, AB=8m and BC=20m. What is the dimension of CA?

A: GIVEN, In a triangle ABC, AB=8m and BC=20m DIMENSION OF AC=?

Q: Given the triangle below, find the angle A and length of side x

A:

Q: Identify if the two triangles are similar and by what postulate/theorem. A 80° E 80°

A:

Q: For a triangle with sides a, b, c and opposite angles A, B, C,the Law of Sines states that_______

A: For a triangle with sides a,b,c and opposite angles A,B,C the law of sines states that:   The ratio…

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

Q: Use intuition to state a conclusion

A: Given: These two triangle are similar to each other.

Q: ) Are the triangles similar? *

A: Given triangle ABC and MNL

Q: State what additional information is required in order to know that the triangles are congruent for…

A: Solution of the problem as follows

Q: The pair of triangles shown are similar because the sides are v and corresponding 6. 12

A:

Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle.

Q: Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has…

A: As per question given triangle is right angle triangle  Longest side of right angle  triangle is…

Q: In right triangle ABC, we have that b = 19.5, and the measure of angle A is 72°. Approximate the…

A: We are given right triangle ABC such that b=19.5 and ∠A=72° as shown

Q: Which triangles are similar to AABC?

A: If sides of two triangles are proportional then they are similar. Consider the triangles ∆ABC and…

Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

A:

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

A:

Q: Find the exact values of the remaining parts of triangle ABC.a = 2, b = 3, c = 4

A: given that: a=2, b=3 and c=4 we have to find the exact values of the remaining parts of triangle…

Q: Ella calculated the missing side length of one of these triangles using the Pythagorean Theorem.…

A: We know that Pythagoras theorem can be apply only on right angle triangle and according to given…

Q: If two triangles ABC and abc are perspective from line I and if corresponding sides of the triangle…

A: From a point : Two figures in a plane are perspective from a point 'l' if the lines joining…

Q: Decide if the following could be sides of a triangle (yes or no). If yes, classify the triangles as…

A:

Q: This problem refers to triangle ABC. If a = 39 cm, b = 15 cm, and c = 28 cm, find the largest…

A: Given  a=39 cm, b=15 cm & c=28 cm To find largest angle

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

A:

Q: C A B.

A:

Q: In a right triangle, the longest side opposite the right angle is called the _________and the other…

A: Consider a right triangles.

Q: Find the lengths of the sides of the given triangle.

A:

Q: What is meant by the statement “every triangle can be circumscribed”?

A: The point where perpendicular bisector of all sides of a triangle meet is called circumcenter of the…

Q: Find the remaining sides and angles of the triangle ABC; with right angle at C. A=37 , a=12

A: let the right angle triangle ABC be: Given that:

Q: Use the Pythagorean Theorem to find the missing side of the night triangle below.

A: Let the length of missing side = x apply Pythagoras theorem

Q: Find the remaining sides and angles of the triangle​ ABC; with right angle at C. A=31°​, a=11 B=?

A: To find the remaining sides and angles of the triangle​ ABC

Q: Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,…

A: Given: A triangle whose sides are of lengths 11, 60, and 61.

Q: Are these triangles similar? *

A: Here we have to choose the correct option.

Q: Let triangle ABC be a triangle whose angles are labeled A,B, and C and whose sides are labeled a, b,…

A: Given that triangle ABC with sides a,b, c opposite to angle A, angle B, angle C respectively. Also…

Q: find the length of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Solution : We have given that the length side of a = 10, side c is Hypotenuse and cosB = 4/5

Q: ind the missing sides of triangle ABC given C = 90 degrees, c = 12, sin B = 3/4

A: Sin law is given as: asinA=bsinB=csinC   Use sin law to solve for sides a and b.

Q: Sketch a figure and solve each right triangle ABC with right angle at C,given that A=15° and C=37

A:

Q: A triangular tarpaulin is to be used in making an advertisement. If two sides of the triangle are…

A:

Q: Solve for the specified angle for the following triangles AABC a. a = 25, c = 39, A = 28°, B = ? b.…

A: Used formulas: Sine Law: sinAa=sinBb=sinCc Cosine Rule:…

Q: Gloria is recording her findings about the similar triangles shown, and she writes "AWVU-AYXZ" in…

A: Given Gloria records her findings about the similar triangles shown, and she writes △WVU~△YXZ in her…

Q: This problem refers to triangle ABC. If a = 35 cm, b = 12 cm, and c = 27 cm, find the largest angle…

A: We know that the law of cosine :  a2 = b2 + c2 - 2 b • c cos ( A )  Here Angle A is the opposite…

Q: Consider the diagram below. "Given 1 Which triangle was constructed congruent to the given triangle?

A: The construction steps of congruent triangles are: 1. Draw a base line. 2. Adjust the compass…

Q: The lengths of the sides of a triangle are 10, 24, and 26. Classify the triangle as acute, right, or…

A: Given data: The first side of the triangle is a=10 units. The second side of the triangle is b=24…

Q: A path goes around a forest so that it forms the three sides of a triangle. The ler of two sides are…

A: Introduction: Law of sines: c=a2+b2+2abcosC Area of triangle: Area=12(a.b)sinC