Question

The triangle flap of an envelope has two sides that are 6 centimeters long and meet at a right angle. How long is the envelope? Round to the 10ths if needed.​

Answer 1

Explanation:

This is a right triangle that has two equal sides - so it is also isosceles.

It can be solved using Pythagoren Theorem.

a² + b² = c²

In this case a = b

so:

6² + 6² = c²

36 + 36 = c²

72 = c²

`\sqrt{72` =
`\sqrt{c^(2) }`

8.49 = c

round to 8.5

This is the length of the flap.