In triangle ABC, the measure of angle A is 90°. The length of AB is 1 unit. The length of AC is 8 units. Find the length of BC.

Using the Pythagorean Theorem, the length of BC is: 8.1 units.

Recall:

Pythagorean Theorem holds true when solving a right triangle that has side c as hypotenuse and side a and b as the other legs, thus: c² = a² + b².

Triangle ABC is shown in the diagram below, where:

Applying the Pythagorean Theorem, the length of BC is solved as follows:

BC = √(1² + 8²)

BC = 8.1 units

Learn more about the Pythagorean Theorem on:

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Given:

In triangle ABC, .

To find:

The length of BC.

Solution:

Pythagoras Theorem : In a right angled triangle,

In triangle ABC, angle A is right angle, so BC is hypotenuse.

Using Pythagoras theorem, we get

Taking square root on both sides.

But side cannot be negative, so .

Therefore, the length of BC is

sine

step-by-step explanation: