Chapter 8: Q. 1 (page 515)

In a right triangle, if the length of the hypotenuse is $5$ and the length of one of the other sides is $3$ , what is the length of the third side?

Short Answer

Expert verified

The solution is $4$ .

Step by step solution

Step 1. Given information

The length of the hypotenuse is $5$ and the length of one of the other sides is $3$ .

Step 2. Calculation

Let the hypotenuse be $a$ , the length of one of the other sides be $b$ and the length of the third side be $c$ . Now -

$a^{2} = b^{2} + c^{2}$ Pythagorean theorem

$5^{2} = 3^{2} + c^{2}$

$c^{2} = 5^{2} - 3^{2}$

$c = \sqrt{5^{2} - 3^{2}}$

$= \sqrt{25 - 9}$

$= \sqrt{16}$

$= 4$

So, the length of the third side is $4$ .

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In a right triangle, if the length of the hypotenuse is $5$ and the length of one of the other sides is $3$ , what is the length of the third side?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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In a right triangle, if the length of the hypotenuse is 5and the length of one of the other sides is 3, what is the length of the third side?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Logic and Functions

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In a right triangle, if the length of the hypotenuse is $5$ and the length of one of the other sides is $3$ , what is the length of the third side?