3. A triangle has sides that measure 5 units, 12 units, and 13 units. Is this triangle a right triangle? Yes, it is a right triangle because $$ 5^{2}+12^{2}
eq 13^{2} $$ Yes, it is a right triangle because $$ 5^{2}+12^{2}=13^{2} $$ No, it is not a right triangle because $$ 5^{2}+12^{2}=13^{2} $$ No, it is not a right triangle because $$ 5^{2}+12^{2}
eq 13^{2} $$

Question

3. A triangle has sides that measure 5 units, 12 units, and 13 units. Is this triangle a right triangle? Yes, it is a right triangle because $$ 5^{2}+12^{2} 
eq 13^{2} $$ Yes, it is a right triangle because $$ 5^{2}+12^{2}=13^{2} $$ No, it is not a right triangle because $$ 5^{2}+12^{2}=13^{2} $$ No, it is not a right triangle because $$ 5^{2}+12^{2} 
eq 13^{2} $$

UpStudy AI · Accepted Answer

1. Identify the longest side, which is 13. This side is assumed to be the hypotenuse.
2. Verify the Pythagorean theorem by computing the squares of the sides:
   
   - Compute $$5^2 + 12^2$$:
     $$
     5^2 + 12^2 = 25 + 144 = 169
     $$
     
   - Compute $$13^2$$:
     $$
     13^2 = 169
     $$
     
3. Compare the two results:
   $$
   5^2 + 12^2 = 13^2 \quad \text{or} \quad 169 = 169
   $$
   
Since the equation holds true, the triangle is a right triangle.

Yes, it is a right triangle because $$ 5^{2}+12^{2}=13^{2} $$.
The triangle is a right triangle because $$5^{2} + 12^{2} = 13^{2}$$.

A triangle has sides that measure 5 units, 12 units, and 13 units. Is this triangle a right triangle?
Yes, it is a right triangle because
Yes, it is a right triangle because
No, it is not a right triangle because
No, it is not a right triangle because

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Geometry Questions

A triangle has sides that measure 5 units, 12 units, and 13 units. Is this triangle a right triangle? Yes, it is a right triangle because Yes, it is a right triangle because No, it is not a right triangle because No, it is not a right triangle because