In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?
1 answer:
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Answer:
<em>The ladder needs to be placed at 5 m from the wall.</em>
Step-by-step explanation:
<u>Pythagoras's Theorem</u>
Being a and b the legs of a right triangle and c its hypotenuse, then
The image shows a ladder of length c=13 m as the hypotenuse of the right triangle formed by the height, the ladder, and the ground.
We are given the height up the wall as a=12 m.
We calculate the distance b solving it from the equation above:
Substituting:
Operating:
Taking the square root:
b = 5 m
The ladder needs to be placed at 5 m from the wall.