Learning Task II. Encircle the letter / number of the correct answer. 1. Which of the following combinations could be three sides of a triangle? A. 5, 6, 11 B. 1, 3, 5 C. 5, 16, 20 D. 7, 7, 14 2. Two sides of a triangle are 15 and 8. Which of the following cannot be the third side? A. 9 B. 13 C. 21 D. 25 3. Suppose two sides of a triangle both measures 4 units, which can be the possible measure of the third side? Encircle all the possible whole numbers. 0 1 2 3 4 5 6 7 8 9 10 4. Two sides of the triangle are 13 and 51. What is the range of the length of the 3rd side? A. 13< 3rd side <51 B. 13> 3rd side >51 C. 38< 3rd side <64 D. 3rd side <64 5. Two legs of a triangle are 7.3 and 17.2 respectively. Given that the length of the third side is an integer, what is the largest possible length for the third side. A. 18 B. 20 C. 22 D. 24
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COMBINATION OF THE THREE SIDES OF TRIANGLE
1. Triangles have to have a total of two sides that is more than the third, and a difference between two sides that is less than the third.
A. 5+6=11 Wrong
B. 1+3<5 Wrong
C. 5+16>20 Right
16-5<20
D.7+7=14 Wrong
2. Two sides of a Triangle are 15 and 8
A. 8+9>15 15-8<9 Can
B. 8+13>15 15-8<13 Can
C. 15+8>21 21-8<15 Can
D. 15+8<25 Cannot
3. According to the Trilateral Relation of Triangle
Let's say the length of the third side is X (X≠Z)
i. 4-4<x x>8 0<X>8 (X≠Z)
4-4>x x<8
i. In 0,1,2,3,4,5,6,7,8,9,10
X could be 1,2,3,4,5,6, and 7
4. Given two sides are 13 and 51.
So 51-13=38
So 51+13=64
So 38<3rd sides>64
5. Since 17.2-7.3=9.9
17.2+7.3=24.5
So The length for third side >9.9
the length for third side <24.5
Since the third side is an integer
So the largest length for the third sides is 24.
{In a triangle, the total of any two sides is larger than the third side, and the difference between any two sides is less than the third side.}
TRIANGLE
Trilateral Relationship of Triangle
In geometry, a trilateral is a shape with three sides. 'An equilateral triangle has three equal sides, an isosceles triangle has two equal sides, and a scalene triangle has three unequal sides,' says the dictionary.
Triangle Inequality
In mathematics, the triangle inequality states that the sum of the lengths of any two triangle sides must be greater than or equal to the length of the remaining side.
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Answer:
1.c
2.d
3.1 2 3 4 5 6 7
4.c
5.d
Step-by-step explanation:
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