Answer:
Let's check this!
Obtuse triangle formula:
c² < b² + a²
Next fill in the formula:
7² < 5² + 4²
Then simplify:
49 < 25 + 16
Then add:
49 < 41
^^49 is not greater than 41 so therefore the triangle is not obtuse.
When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.
Acute triangle formula:
c² > b² + a²
7² > 5² + 4²
49 > 25 + 16
49 > 41 ✔
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The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.
The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.
The three sides of a triangle of lengths 4, 5, and 7.
An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.
The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.
Obtuse triangle formula:
c² < b² + a²
7² < 5² + 4²
49 < 25 + 16
49 < 41
Here; 49 is not greater than 41 so therefore the triangle is not obtuse.
Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.
Learn more about the obtuse triangle;
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