Question

A right triangle has a leg of 13 cm and a hypotenuse of 21 cm. What is the length of the other leg? Round to the nearest tenth
A. 8.0 cm
B.16.5 cm
C. 24.7 cm
D. 272.0 cm

Answer 1

Answer:

B 16.5 cm

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Answer 2

The other leg of the right triangle will be 16.5cm.

Legs of a right triangle:

The side which shares the common/neighboring border to the right angle in a triangle is called legs.

Pythagoras theorem:

It states that the sum of the areas of the two squares on the legs equals the area of the of the square on the hypotenuse.

According to the given question, we have

length of one leg of the right triangle is 13cm.

hypotenuse of the right triangle is 21 cm .

Let x be the length of the other leg.

Now, according to the Pythagoras theorem

We can write as

$(21)^{2} = x^{2} +(13)^{2}$

⇒ 441 = $x^{2} +169$

⇒$441-169 =x^{2}$

⇒ $272 =x^{2}$

⇒ $x = \sqrt{272}$

⇒$x = 16.49$ ≈ 16.5cm

Hence, the other leg of the right triangle will be 16.5cm.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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