The Branches should be 10' long.
<h3>What is Pythagoras theorem ?</h3>
Pythagoras theorem states that the sum of the squares of base and perpendicular is equal to the square of hypotenuse.
According to the given question on a camping trip Trina is going to build a shelter by leading branches up against a rock wall Trina wants her saving bag to be perpendicular this means it will form a right angle triangle and we know hypotenuse² = base² + perpendicular².
Here branches is the hypotenuse,wall is perpendicular and saving bag is base.
∴ (Branches)² = (wall)² + (saving bag)²
(Branches)² = 64 + 36
(Branches)² = 100
Branches = 10.
learn more about right angled triangle here :
brainly.com/question/3770177
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