Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer:
See below.
Step-by-step explanation:
It transforms to the Pythagoras theorem.
c^2 = a^2 + b^2 - 2ab cos C
If C = 90, cos C = zero so the last term disappears.
c^2 = a^2 + b^2 - 2ab * 0
c^2 = a^2 + b^2.
The value of x that completes the conditional relative frequency table by column is 0.85
<h3>How to determine the value of x?</h3>
From the complete question, we have the following column elements
0.15 x 1
Express a sum
0.15 + x = 1
Subtract 0.15 from both sides
x = 0.85
Hence, the value of x that completes the conditional relative frequency table by column is 0.85
Read more about conditional relative frequency at:
brainly.com/question/22728236
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