Many flags are stored in a wooden triangular shaped box. How much wood is needed to go around the outside of the frame?
1 answer:
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Answer:
The length of the third side could be 9 ft
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
In this problem
Let
c-----> the length of the third side, in feet
Applying the Triangle Inequality Theorem
1) ------->
2) ----->
so
The length of the third side must be greater than 4 ft and less than 16 ft
Remember that
The scalene triangle has three different sides
therefore
The length of the third side could be 9 ft
<h2>The required "option A) 20" is correct.</h2>
Step-by-step explanation:
Let x be the smaller than 4 ×.
To find, the number of times smaller is 2 × than 4 ×
= ?
∴ x =
= 2 × ×
Using the identity,
= 2 ×
Using the identity,
= 2 ×
= 2 × 10
= 20
Thus, the required "option A) 20" is correct.