The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right angle. Yes. No.
2 answers:
Answer:
Step-by-step explanation:
If the triangle is a right triangle, then the sides will check out in the <u>Pythagorean Theorem. </u>
Where <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
1. Define Sides
The legs are the 2 shorter sides and the hypotenuse is the longest.
The sides given are 3, 4 (shorter), and 5 (longest). Therefore:
2. Check the Sides in the Theorem
Substitute the values into the theorem.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.
Solve all of the exponents first.
- (3)² = 3*3= 9
- (4)²= 4*4= 16
- (5)²= 5*5= 25
Add the numbers on the left side of the equation.
This is <u>true.</u> 25 is equal to 25, so this triangle <u>can be a right triangle.</u>
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