Answer:
The perimeter of the triangle 198 cm.
Step-by-step explanation:
Given that,
In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.
Pythagorean Theorem:
Sum of square of the legs is equal to square of hypotenuse.
∴a²+b²=c²
a= ?, b= 77 cm and c=85 cm
a²+77²=85²
⇒a²+5929=7225
⇒a²=7225-5929
⇒a²= 1296
⇒a = 36 cm
The perimeter of the triangle = sum of all sides
=a+b+c
=(36+77+85) cm
= 198 cm
Vectors are orthogonal, when dot product
Vectors
and
are orthogonal.
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37
/−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
