Answer:
Step-by-step explanation:
we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle
Answer:
ABC is not a right triangle.
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides(easier to see if you draw it):
P = AB + BC + AC
We can substitute the values we have:
18 = 7 + 3 + AC
18 = 10 + AC
AC = 8
In a right triangle, the hypotenuse is always the largest side and is equal to the square root of the squares of the legs by the pythagorean theorem(a^2 + b^2 = c^2). Our largest side is 8, so we would set that as equal to the hypotenuse:
8^2 = 7^2 + 3^2
64 = 49 + 9
64 = 58
64 is not equal to 58, so triangle ABC is not a right triangle.
