Скачать или смотреть Calculating Perimeter with Pythagorean Theorem | Triangle and Trapezoid Tutorial

Calculating Perimeter with Pythagorean Theorem | Triangle and Trapezoid Tutorial

Description:
Master the Pythagorean Theorem to find missing side lengths! In this video, we calculate the perimeter of two different geometric shapes step-by-step. Perfect for middle school students and math enthusiasts.

The Math Challenge:
Find the perimeter (keliling) for:

Right-Angled Triangle (PQR)

Right Trapezoid (ABCD)

Step-by-Step Solution:

Part A: Right Triangle PQR
To find the perimeter, we first need the hypotenuse (RQ).

Sides: PQ = 8, PR = 6

Find RQ: sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10

Perimeter: 8 + 6 + 10 = 24 units

Part B: Right Trapezoid ABCD
To find the perimeter, we need the slanted side (BC).

Dimensions: AB = 33, AD = 24, DC = 40

Find the base of the small triangle: 40 - 33 = 7

Find BC (using height 24): sqrt(24^2 + 7^2) = sqrt(576 + 49) = sqrt(625) = 25

Perimeter: 33 + 25 + 40 + 24 = 122 units

What You Will Learn:

How to identify right-angled components in shapes.

Applying a^2 + b^2 = c^2 to find missing sides.

Summing all outer sides to find the final perimeter.

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