Question

How do you solve pythagorean theorem?? Full Explanation Will Mark Brainlist

Answer 1

Answer:

a^2 +b^2=c^2

Step-by-step explanation:

a and b are the legs and c is the hypotenuse. I hope this somewhat helps.

Answer 2

Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.

The Pythagoras theorem formula is expressed as:

$(\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}$

Now, let us take an example to understand the concept better.

Example:

A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?

Solution:

We are given the following:

• Longest side (hypotenuse of the triangle) = 15 cm
• Base of the triangle (Not the longest side) = 9 cm

When we plug the hypotenuse and the base, in the formula, we get;

• ⇒ 15² = 9² + (side₂)²

Subtract 9² on both sides of the equation to isolate (side₂)².

• ⇒ 15² = 9² + (side₂)²
• ⇒ 15² - 9² = 9² + (side₂)² - 9²

We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S

• ⇒ (15 - 9)(15 + 9) = (side₂)²
• ⇒ (6)(24) = (side₂)²
• ⇒ 144 = (side₂)²

Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).

• ⇒ √144 = √(side₂)²
• ⇒ 12 = side₂

Therefore, the measure of the height is 12 centimeters.

Learn more about Pythagoras theorem: brainly.com/question/343682