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Geometric diagrams illustrating triangles with various side lengths and angles.

Eight diagrams of triangles with labeled sides and angles, each showing a triangle with a line segment from a vertex to the opposite side, labeled with variables and angles.

Eight diagrams of triangles with labeled sides and angles, each showing a triangle with a line segment from a vertex to the opposite side, labeled with variables and angles.

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Show Answer Key & Explanations Step-by-step solution for: SOLUTION: 8 multi step pythagorean theorem problems - Studypool
- The problem requires identifying which triangles have a correctly drawn altitude.
- An altitude of a triangle is a perpendicular line segment from a vertex to the line containing the opposite side.
- In each diagram, the red line represents the claimed altitude, and the small square indicates a right angle (90 degrees), confirming perpendicularity.
- For the altitude to be correct, the red line must start at a vertex and meet the opposite side (or its extension) at a 90-degree angle.
- Diagrams where the red line does not originate from a vertex or does not form a right angle with the opposite side are incorrect.
- After evaluating all diagrams, the correct ones are those where the red line satisfies both conditions: starting at a vertex and being perpendicular to the opposite side.

Correct diagrams:
- (a)
- (b)
- (c)
- (d)
- (e)
- (f)
- (g)
- (h)
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem word problems worksheet kuta.
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