The triangle with side lengths 6, 8 and 10 is right angled, while the triangle with side lengths 6, 8 and 9 is an acute triangle and the triangle with side lengths 6, 8 and 11 is an obtuse triangle. An obtuse triangle with positive area has side lengths 10, 19 and x. If x is an integer, what is the sum of all possible values of x?
Answers
Answered by
2
We calculate the squares of the two littlest sides and add them :
6
²
+
8
²
=
36
+
64
=
100
We now calculate the square of the biggest side :
10
²
=
100
They are equal, and thus, the triangle is a right triangle.
(
A
B
²
+
B
C
²
=
A
C
²
=>
A
B
C
is right in
B
)
Answered by
7
Answer:
We calculate the squares of the two littlest sides and add them :
6
²
+
8
²
=
36
+
64
=
100
We now calculate the square of the biggest side :
10
²
=
100
They are equal, and thus, the triangle is a right triangle.
(
A
B
²
+
B
C
²
=
A
C
²
=>
A
B
C
is right in
B
)
HOPE IT WILL HELP U ✌
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