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for the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.

b = 9, c = 16

a =

In case 1 the value of is .

In case 2 the value of is .

Further Explanation:

In right angled triangle the sum of square of two sides is equal to the square of hypotenuse.

Hypotenuse is the side opposite to right angle.

The Pythagorean formula can be expressed as,

Given:

The side is equal to and the side is equal to .

Calculation:

Case (1).

Consider the side as the hypotenuse of triangle.

The other two sides are and .

The value of is .

The value of is .

The hypotenuse can be calculated as,

The value of is .

Kindly refer to Figure 2.

Case (2).

Consider the side as the hypotenuse of triangle.

The other two sides are and .

The value of is .

The value of is .

The side can be calculated as,

The value of is

Kindly refer to Figure 1.

Learn more:

1. Learn more about rotation of triangle

2. Learn more about angles

3. Learn more about coordinates of triangle

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangle

Keywords: sum, angle, altitude, triangle, sides, points, midline, third side, median, hypotenuse, Pythagoras equation, right angle, radical, radicand, third side, right angled triangle, simplified.