Chapter 10.3, Problem 7STP

The diagram to the right shows the design of the 12-in. quilt block that a quilter is sewing.

a. What are the dimensions of each triangle in the quilt block? Give your answers as simplified radicals.

b. What are the dimensions of each triangle to the nearest tenth of an inch?

To determine

To find: the dimensions of each triangle in the quilt block.

Answer to Problem 7STP

The dimensions of each triangle in the quit block is $\left(12,6\sqrt{5}\right)$ .

Explanation of Solution

Given information:

The figure provided in the question,

  

Calculation: to find the dimension, use the Pythagoras theorem,

The dimensions of the triangles can be written as:

  $\left(12,6\sqrt{5}\right)$ .

To determine

To find: the dimensions of each triangle in the quilt block to the nearest tenth.

Answer to Problem 7STP

The dimensions of each triangle in the quit block is $\left(12,13.14\right)$ .

Explanation of Solution

Given information:

The figure provided in the question,

  

Calculation: the dimensions of the each triangle to the nearest tenth is,

  $\left(12,13.14\right)$ .