Example 1 Position and label each triangle on the coordinate plane.right ΔA B C with legs AC and AB so that AC is 2 a units long and leg AB is 2 b units long

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09-09-2022
Mathematics

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Example 1 Position and label each triangle on the coordinate plane.right ΔA B C with legs AC and AB so that AC is 2 a units long and leg AB is 2 b units long

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jainveenamrata jainveenamrata · Answer 1 · 2022-09-14T09:27:08+02:00

The right-angle triangle on the coordinate plane will be drawn. Then the third length of the right triangle will be 2√(a² - b²) units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The right triangle ΔABC with legs AC and AB so that AC is 2a units long and leg AB is 2b units long.

We know that the angle ABC is a right angle which means 90°.

Then the third length of the right triangle will be

H² = P² + B²

(2a)² = (2b)² + B²

B² = 4a² - 4b²

B² = 4(a - b²)

B = 2√(a² - b²)

The right-angle triangle on the coordinate plane will be drawn.

The diagram is attached below.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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