Notice, 3 decimals, so, we can just use 3 zeros, thus
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61
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1,296, </span></span></span>
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729, </span></span></span>
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3,721
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<span><span>2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025
3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side² Acute Triangleif sum = 3rd side² Right Triangleif sum < 3rd side² Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm
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Answer: I believe the answer to your question is 4
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
