Question
A triangle has sides with lengths of 10 meters, 16 meters and 20 meters. Is it a right angled triangle? Explain your reasoning.
97
likes485 views
Answer to a math question A triangle has sides with lengths of 10 meters, 16 meters and 20 meters. Is it a right angled triangle? Explain your reasoning.
Bud
4.696 Answers
1. Identify the side lengths:
a = 10, b = 16, c = 20.
2. Apply the Pythagorean theorem to check if the triangle is right-angled:
a^2 + b^2 = c^2.
3. Compute the squares of each side:
10^2 = 100,
16^2 = 256,
20^2 = 400.
4. Add the squares of the two shorter sides:
100 + 256 = 356.
5. Compare this sum to the square of the longest side:
356 \neq 400.
The triangle is not a right-angled triangle.
2. Apply the Pythagorean theorem to check if the triangle is right-angled:
3. Compute the squares of each side:
4. Add the squares of the two shorter sides:
5. Compare this sum to the square of the longest side:
The triangle is not a right-angled triangle.
Frequently asked questions (FAQs)
Math Question: Determine the absolute extrema of the function f(x) = x^3 - 6x^2 + 9x on the interval [-1, 3].
+
Question: What is the limit of (x^2 - 4)/(sqrt(x) - 2) as x approaches 4?
+
Math question: What is the smallest positive integer solution to the equation x^n + y^n = z^n, where n > 2, as stated in Fermat's Theorem? (
+
New questions in Mathematics