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satela [25.4K]
3 years ago
13

Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer:

5.7m

Step-by-step explanation:

the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:

a^{2} +b^{2} =c^{2}

sides a and b are the two shorter sides.

side c is the hypotenuse (longest side)

as shown in the picture below, because we know both sides c and b, we need to change the equation around:

c^{2} -b^{2} =a^{2}

replace these sides with their numbers:

6^{2} -2^{2} = 32 (remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

\sqrt{32} =5.65685...

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)

 

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<span>Using the Triangle Inequality Theorem

</span><span>The sum of two side lengths of a triangle is always greater than the third side
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