Question

Find DY if PY= 6 and DP= 10.

Answer 1

The relationship between sides DY, PY and DP is that they form a right-angled triangle.

The value of side length DY is 8 units

Side length DY can be calculated using the following Pythagoras theorem.

So, we have:

$DP^2 =DY^2 + PY^2$

Substitute values for DP, DY and PY

$10^2 =DY^2 + 6^2$

Evaluate the squares

$100 =DY^2 + 36$

Subtract 36 from both sides

$64 =DY^2$

Take square roots of both sides

$8 =DY$

Rewrite as:

$DY = 8$

Hence, the value of side length DY is 8 units

Read more about Pythagoras theorems at:

brainly.com/question/654982