SAT High School

One of the legs of a right triangle measures 2 cm and its hypotenuse measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

The measure of the other leg = 8.8 cm

Explanation:

Given - One of the legs of a right triangle measures 2 cm and its hypotenuse measures 9 cm.

To find - Find the measure of the other leg.

Proof -

We know that,

For a right angle triangle,

Apply The Pythagoras Theorem , which states that

(Hypotenuse)² = (Base)² + (Perpendicular)²

Given that,

Hypotenuse =  9 cm

One leg = 2 cm

Let us assume that,

One leg is base and another leg is Perpendicular.

We also can suppose vice-verse, it does not affect the solution.

Now,

(Hypotenuse)² = (Base)² + (Perpendicular)²

⇒(9)² = (2)² + (Perpendicular)²

⇒81 = 4 + (Perpendicular)²

⇒81 - 4 = (Perpendicular)²

⇒77 = (Perpendicular)²

⇒√77 = Perpendicular

⇒Perpendicular = 8.775 ≈ 8.8

∴ we get

The measure of the other leg = 8.8 cm

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