Problem#1
Find the length x in each triangle. Express your answer in simplified radical form.
Leg 1 = 8
hypotenuse = 10
leg 2 = x
My answer is: x = �ã27
Problem #2
Geometry. For the home described in exercise 15, if the roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
My anwer: b = 6.3m
for the first one I got an answer of 6
I don't understand your symbol ã
Your second answer is right
sorry the symbol a was suppost to come out as a radical sign. how did you get 6
x^2+8^2=10^2
x^2+64=100
x^2=36
x=6
To find the length x in the given triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, you have one leg measuring 8, the hypotenuse measuring 10, and the other leg (x) that you need to find.
Using the Pythagorean theorem, you set up the equation:
x^2 + 8^2 = 10^2
Simplifying this equation, you get:
x^2 + 64 = 100
Subtracting 64 from both sides of the equation:
x^2 = 36
To solve for x, you take the square root of both sides:
√(x^2) = √36
x = 6
Therefore, the length x in the triangle is 6.
Regarding the symbol "ã" you mentioned, it is likely a typo. In this case, the correct symbol to represent the square root is the radical sign (√).