A carpenter wants to build a quadrilateral wooden frame that holds its shape rigidly using corner joints. A frame made of 4 fixed-length rods alone wobbles into many shapes. Adding one more rod across as a diagonal makes it rigid. How many rods (sides + diagonal) does the rigid frame then have?

Question

Accepted Answer

5. 4 side rods + 1 diagonal rod = 5 rods. The diagonal turns the flexible 4-bar frame into two rigid triangles, matching the 5 measurements needed for a unique quadrilateral.

A carpenter wants to build a quadrilateral wooden frame that holds its shape rigidly using corner joints.
A frame made of 4 fixed-length rods alone wobbles into many shapes.
Adding one more rod across as a diagonal makes it rigid.
How many rods (sides + diagonal) does the rigid frame then have?

Step-by-Step Solution

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More Class 8 Constructing Quadrilaterals practice

A carpenter wants to build a quadrilateral wooden frame that holds its shape rigidly using corner joints.A frame made of 4 fixed-length rods alone wobbles into many shapes.Adding one more rod across as a diagonal makes it rigid.How many rods (sides + diagonal) does the rigid frame then have?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Constructing Quadrilaterals practice

A carpenter wants to build a quadrilateral wooden frame that holds its shape rigidly using corner joints.
A frame made of 4 fixed-length rods alone wobbles into many shapes.
Adding one more rod across as a diagonal makes it rigid.
How many rods (sides + diagonal) does the rigid frame then have?