Question

Can you construct a triangle that has side lengths 8 m, 10 m, and 19 m?

no


yes

2.
Two sides of a triangle have lengths 4 yd and 7 yd. Describe the possible lengths of the third side.


3 < x < 7


3 < x < 11


4 < x < 11


4 < x < 7

3.
Two sides of a triangle have lengths 6 cm and 6 cm. Describe the possible lengths of the third side.


12 < x < 18


0 < x < 6


0 < x < 12


6 < x < 12

4.
List the sides of the triangle in order from shortest to longest.















5.
List the sides of ∆DEF in order from shortest to longest if m∠D = 20, m∠E = 120, and m∠F = 40.













6.
List the angles of triangle ABC in order from smallest to largest measure if AB = 9, AC = 11, and BC = 10.


∠B, ∠C, ∠A


∠C, ∠B, ∠A


∠A, ∠B, ∠C


∠C, ∠A, ∠B

7.
Can you construct a triangle that has side lengths 1 cm, 15 cm, and 15 cm?


yes


no

8.
Can you construct a triangle that has side lengths 4 m, 5 m, and 9 m?


no


yes

9.
Can you construct a triangle that has side lengths 11 cm, 12 cm, and 15 cm?


no


yes

10.
List the angles of the triangle in order from smallest to largest measure.




∠G, ∠H, ∠I


∠I, ∠H, ∠G


∠G, ∠I, ∠H


∠H, ∠I, ∠G



DESCRIPTION
SUBMITTOGGLE DROPDOWN

Answer 1

1- find triangle construct or not by the help of

Triangle Inequality Theorem

according to theorem sum of two side is always greater than third side

let a,b, c are side of triangle

a+b>c

b+c>a

a+c>b

question no 1 -

8+10 >19

but it's not greater than 19

so answer is no

question no 7,8,9 solve by this method

question no 2-

4+7 > third side

third side less than 11

if we take 3 as third side

3+4 greater than 7 but here it's equal

so third side is greater than 3

then range 3< x <11

question 3rd solve by this method

for question 5,

large angle opposite side large

question 5 -

df>de>ef

question 6-

large length opposite side large

b>a>c

Answer 2

Explanation:

1- find triangle construct or not by the help of

Triangle Inequality Theorem

according to theorem sum of two side is always greater than third side

let a,b, c are side of triangle

a+b>c

b+c>a

a+c>b

question no 1 -

8+10 >19

but it's not greater than 19

so answer is no

question no 7,8,9 solve by this method

question no 2-

4+7 > third side

third side less than 11

if we take 3 as third side

3+4 greater than 7 but here it's equal

so third side is greater than 3

then range 3< x <11

question 3rd solve by this method

for question 5,

large angle opposite side large

question 5 -

df>de>ef

question 6-

large length opposite side large

b>a>c