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:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
The diagonals are perpendicular to each other.
The right triangle has half of each diagonal as sides, so the hypotenuse or side length is Sqrt(9^2 + 12^2) = 15.
Hint: a 3,4,5 sided triangle is the smallest integer right triangle. Doubling or tripling, etc. is still a right triangle. So when I saw the 9,12, I knew that 15 was the hypotenuse.