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).
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
Answer:
A
Step-by-step explanation:
v + w //substitute values
-3i + 2 - 4i //combine like terms
-7i +2
9514 1404 393
Answer:
- x/45 = 9 m/30
- x = 13.5 . . . meters
Step-by-step explanation:
In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.
x/45 = 9/30
__
Multiplying by 45 gives the solution:
x = 45(9/30) = 13.5 . . . meters
