Question

Question 2
State whether the triangle is acute,obtuse or right ???

Answer 1

Explanation:

If a² + b² > c² , the triangle is acute,

If a² + b² = c² , the triangle is a right triangle,

If a² + b² > c² , the triangle is obtuse,

where "a" and "b" are the lengths of the 2 shorter sides of the triangle and "c" is the length of the longest side.

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6² + 8² > 9² ⇒ given triangle is acute

Answer 2

Explanation:

We can solve this question by applying the Pythagorean theorem to the triangle (a^2+b^2=c^2). The Pythagorean theorem states that if the two shorter lengths are both squared and added the sum of those two numbers should be equal to the longest side squared. So 6 and 8 are the shorter sides of this triangle so we can plug either one in for either a or b, 6^2+8^2=9^2. Once you do that you have to square each individual number. You should get 36+64=81

36+64 is 100 and 100 does not equal 81 therefore this triangle is not a right triangle.