Answer:
3.6
Step-by-step explanation:
Pythagorean theorem:
a^2 + b^2 = c^2
(6 km)^2 + b^2 = (7 km)^2
36 + b^2 = 49
b^2 = 13
b = sqrt(13)
b = 3.6
Answer: 3.6 km
Answer: 80 and 6x
Step-by-step explanation:
10 x 8 = 80
2x times 3x = 6x
A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
I think it's D but make it sire
