Which dimensions can create more than one triangle
Which measurements can create more than one triangle?
In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third. c) More than one triangle can be drawn with Angle A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.
What dimensions can form a triangle?
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
What is the measure of Angledef?
In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor.
Which statement about Lukas’s claim is true?
Which statement about Lukas’s claim is true? Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn. Claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus.
How do you know if 3 lines make a triangle?
Can a triangle be 5 6 9 lengths?
ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Which triangle is possible to construct?
It is possible to construct equilateral triangles, isosceles triangles, scalene triangles, acute triangles, obtuse triangles, and right triangles using only a compass and straightedge.
For which polygon is the sum of the interior angles equal to 540?
The Solution to the Sum
This is true for any pentagon you have. Regular pentagons where all the sides and angles are the same will have a sum of interior angles of 540 degrees.
Can a triangle have sides with lengths 5/6 and 11?
No, you can’t form a triangle with these side lengths. The thumb rule of triangle formation is that the sum of every pair of sides must be greater than the length of the third side. Here, 6+8 = 14 2.
Can 5/8 and 4 form a triangle?
No! It’s actually not possible! It turns out that there are some rules about the side lengths of triangles. You can’t just make up 3 random numbers and have a triangle!
Does 5 6 7 make right triangles?
Therefore in this problem 7 is the larger length and should be the hypotenuse, and 5 and 6 should be the lengths of the other two sides. Calculating: √( 52+62) = √(25+36) = √61=7.82 ≠ 7 , Therefore this is not a right angle triangle based on the Pythagorean theorem.
Can 5cm 6cm and 11cm make a triangle?
Answer: NO, it’s simply not possible to have a triangle with sides 5 cm, 6 cm and 11 cm.
Can 6cm 5cm and 3cm form a triangle?
YES,IT IS POSSIBLE TO DRAW.
Can a triangle be constructed with sides of lengths 6cm 7cm and 14cm?
Hence, it is not possible to draw a triangle having sides 6 cm, 7 cm and 14 cm.
Can you construct a triangle with sides 12cm 5cm 7cm?
Hence, it is not possible to draw a triangle whose sides are \(5\ cm,7 \ cm ,12 \ cm\).
Is it possible to have a triangle with sides 12cm 7cm 9cm?
Give reason for your answer. i.e, the sum of two sides of a triangle is less than the third sides. Hence, it contradicts the property that the sum of a triangle is grearter than the third side. Therefore, it is not possible t construct a triangle with give sides.
Is it possible to have a triangle with sides 6cm 3cm 2cm?
According to the property of the triangle, the sum of the lengths of any two sides of the triangle should always be greater than the length of the third side. … Therefore, the third required inequality is not getting satisfied, so it is not possible to have a triangle with sides having a measure of 6 cm, 3 cm, 2 cm.
Can we construct a triangle with sides 5cm 7cm and 15cm?
A TRIANGLE IS POSSIBLE ONLY WHEN SUM OF ANY TWO SIDES OF TRIANGLE IS ALWAYS GREATER THAN THIRD SIDE. 7 CM.
Is it possible to form a triangle whose sides are 5cm 6cm and 12cm long?
No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Is it possible to have a triangle with the following sides 2cm 3cm 4cm?
yes it is possible to draw a triangle having sides 2cm,3cm,4cm. because sum of two sides is greater than third side.