The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right angle. Yes. No.

Yes

Step-by-step explanation:

3 , 4 & 5 are Pythagorean Triplet numbers. When lengths of a triangle's 3 sides are Pythagorean Triplet , the triangle is a right angled triangle.

The triangle will be a right angled triangle only when the hypotenuse will have length of 5 and other 2 sides will have length of either 3 or 4.

Step-by-step explanation:

If the triangle is a right triangle, then the sides will check out in the Pythagorean Theorem.

Where a and b are the legs and c 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.

Add the numbers on the left side of the equation.

This is true. 25 is equal to 25, so this triangle can be a right triangle.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls