Question

right angles clyde makes a triangle using three sticks of lengths 20 inches, 21 inches, and 28 inches. the triangle a right triangle.

○ true

○ false

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, the sum of the squares of the two shorter sides should equal the square of the longest side. The formula is \(a^2 + b^2 = c^2\), where \(c\) is the longest side.

Step2: Identify sides

Here, the sides are 20, 21, and 28. The longest side \(c = 28\), \(a = 20\), \(b = 21\).

Step3: Calculate squares

Calculate \(a^2 = 20^2 = 400\), \(b^2 = 21^2 = 441\), and \(c^2 = 28^2 = 784\).

Step4: Sum of squares of shorter sides

Sum \(a^2 + b^2 = 400 + 441 = 841\).

Step5: Compare with \(c^2\)

Since \(841
eq784\), the triangle is not a right triangle.

Answer:

False