For what value of AB AC The construction of triangle ABC is possible?

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For what value of AB AC The construction of triangle ABC is possible?

So, if AC – AB = 2.8 cm, then construction of ΔABC with given conditions is possible.

Can a ∆ ABC be constructed in which AB 6cm ∠ a 6o and BC AC 5.2 give reason for your answer?

We know that, by triangle inequality property, construction of triangle is possible if sum of two sides of a triangle is greater than the third side. Thus, ΔABC is not possible.

Why we Cannot construct a Δabc if ∠ A 45 AB 6 cm AC BC 3 cm but construction of Δabc is possible if ∠ A 45 AB 6 cm and AC BC 3 cm?

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We know that, the construction of a triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle. So, if AC – AB= 6.9 cm, then construction of ΔABC with given conditions is not possible.

Is it possible to construct triangle ABC given that BC 3cm ∟ C 60oand sum of the measures of AB and AC is 2.8 cm justify your answer?

The constuction of a Delta ABC, given that BC = 3cm, angleC = 60^(@) is possible when difference of AB and AC is equal to. So, if AC – AB = 2.8cm, then construction of ΔABC with given conditions is possible.

Can you construct a triangle ABC if AB 6.5cm angle a 60 and BC AC 11cm?

Answer: yes it is a isosceles triangle.

What is side C of a triangle?

The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle. If the length of the hypotenuse is labeled c , and the lengths of the other sides are labeled a and b , the Pythagorean Theorem states that a2+b2=c2 a 2 + b 2 = c 2 .

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What is C in Pythagorean Theorem?

c is equal to the hypotenuse and a and b are the shorter sides (you can choose which one you want to be a or b)

Does AB BC have AC?

You’ll notice that they can be reworded into conditionals. For example, the postulate which says Through any two points there is only one line can be read as If there are two points, then there is a unique line through the points. If there are three colinear points A, B, and C, and B is between A and C, then AB+BC=AC.

Which states that if ABC then AB BC AC?

If A-B-C, then by definition of between, AB + BC = AC, and by the Distance postulate, AB, BC and AC are all positive numbers. This means that AC > BC and AC > AB. If A-C-B, similarly, AC + BC = AB, so that AB > AC and AB > CB. Similarly, if B-A-C, then BA + AC = BC, so that BC > AB and BC > AC.

Can you construct a triangle ABC if AB 6.5 cm angle a 60 degree BC AC 11cm?

Answer: yes it is a isosceles triangle. becoz two side are equal.

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What is the measurement of ∠C in a triangle ABC?

14) A triangle ABC with AB = 4 cm and ∠A= 60° and ∠B= 40° is constructed. Then what is the measurement of ∠C? ∠C = 180°-100°= 80°. 15) The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when the difference of AB and AC is equal to:

Is it possible to construct a 40 degree angle with a compass?

Hence, it is not possible to construct a 40° angle using a ruler and compass. 13) The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when the difference of BC and AC is equal to

How do you draw a 45 degree arc?

Now, let’s draw ∠ B = 45° Let the ray be BX Check Ex 11.1, 2 on how to construct 45° Open the compass to length AB – AC = 3.5 cm. From point B as center, cut an arc on ray BX. Let the arc intersect BX at D 4.

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