Mathematics: 3 straws are shown. The length of one straw is 12 inches, the length of another straw is 9 inches, and the length of the last straw is unknown. Marlena has 3 straws. Two straws have the lengths shown. She does not know the length of the shortest straw, but when she forms a triangle with all three, the triangle is obtuse. Which are possible lengths of the shortest straw? Check all that apply. 5 inches 6 inches 7 inches 8 inches 9 inches.

3 straws are shown. The length of one straw is

yesharabaskoro

29.12.2021

5 inches 6 inches and 7 inches

Step-by-step explanation:

5 inches gives an angle of 115 degrees.

6 inches gives an angle of 104 degrees.

7 inches gives an angle of 96 degrees

These three triangles are obtuse triangles

8 inches gives an angle of 89.6 degrees.

9 inches gives an angle of 83.6 degrees.

These two triangles are acute triangles.

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KallMeh

01.01.2023

This is a right angle triangle
So we can use the tangent
tan x = 5/20
tan x= 0.25
x=tan^-1 (0.25)
x= 14.04 degrees
So yes you're correct

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