5. Based on the lengths of the sides, which angle is the largest?

Question

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1 point
x on the top corner 3.4cm on the left side, 6.5cm on the right side and 9.8 cm on the bottom y on the bottom left z on the bottom right corner
X
Y
Z

Answer 1

To determine which angle is the largest based on the lengths of the sides, we can apply the property that in any triangle, the largest angle is opposite the longest side.

Given the sides:

• \( x = 3.4 , cm \) (top corner opposite side 3.4 cm)
• \( y = 6.5 , cm \) (bottom left corner opposite side 6.5 cm)
• \( z = 9.8 , cm \) (bottom right corner opposite side 9.8 cm)

Among these sides, the longest side is \( 9.8 , cm \). Therefore, the angle opposite to this side, which is angle \( Z \) (bottom right corner), is the largest angle in the triangle.

So, the answer is Z.