The correct ratios are: cse 27=23/RT, sec 27= 23/10.4 and cot 63 = RT/10.4
In triangle RST, angle T= 90° and angle R= 63°
As the total of all angle in any triangle is 180°, so the measure of the angle S = 180°- (90°+63°)
S= 180°- 153°
S= 27°
According to the rule of trigonometric ratios,
In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.
So, cse(63°) =
sec(63°) =
cot(63°) =
Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.
So, cse(27°) =
sec(27°) =
cot(27°) =
Answer: 4
Step-by-step explanation: compute the distance between (x1, y1), (x2, y2):
(8 -4)² + [ -1 - (-1) ]² = 4
Answer:
Length of DE is : 18√2 units
Step-by-step explanation:
The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.
Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)
In ΔABE and ΔABC,
∠A = ∠A (Common)
∠ABE = ∠ABC (Corresponding angles)
By AA similarity, ΔABE is similar to ΔABC.
Hence by area side proportionality theorem
Hence, length of DE is 18√2 units