To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):
a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.
6.) a² + b² = c²
(4√3)² + (11)² = (13)²
(16(3)) + 121 = 169
48 + 121 = 169
169 = 169 It IS a right triangle
7.) a² + b² = c²
(5)² + (2√14)² = (9)²
25 + (4(14)) = 81
25 + 56 = 81
81 = 81 It IS a right triangle
8.) a² + b² = c²
(6)² + (√49)² = (√82)²
36 + 49 = 82
85 = 82 It is NOT a right triangle
9.) a² + b² = c²
(13)² + (2√39)² = (16)²
169 + (4(39)) = 256
169 + 156 = 256
325 = 256 It is NOT a right triangle
It would be ten because 40 divided by 4 is ten
Answer:
No real solutions
Step-by-step explanation:
Divide both sides by 3
3x^3/3=-54/3
x^2=-18
Take square root
x=±√−18
Answer:
60 books
Step-by-step explanation:
let the number of books Willy has be x , then
Tammy has 4x books
Willy has 180 fewer books , that is Tammy has 180 more than Willy , so
4x = x + 180 ( subtract x from both sides )
3x = 180 ( divide both sides by 3 )
x = 60
Thus
Willy has 60 books andTammy has 4 × 60 = 240 books
which is 180 more than Willy