Question

PLEASE HELP!

1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.



2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.

Answer 1

1.

For triangle 1

`a = 3√(5)`

For triangle 2

`x = 2√(2)`

2.

Way 1

By reducing the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

Explanation:

The complete question is attached in the image

Solution

1.

Both the triangles are right angled triangle

For triangle 1

`7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3√(5)`

For triangle 2

`4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2√(2)`

2.

Way 1

By reducing the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21