which of the triangles described in the table is a right triangle?
triangle side 1 side 2 side 3
Q 25 20 15
R 26 20 46
S 25 20 1025
T 25 26 650
1. C,15
2. C,10
3. written response
4. B,28 mi
5. D,12 cm
6. A, (-8,-10)
7. A, Q
8. A, II
9. B.5
Q because 20 squared + 15 squared = 25 squared
If it even works, the largest number must be the hpotenuse, so
e.g. R
is 26^2 + 20^2 = 46^2 ?
test the others.
people still use dis XD
people still use this site... WOW
To determine which triangle is a right triangle, we need to check if the Pythagorean Theorem is satisfied for each triangle. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's calculate the squares of the sides for each triangle:
For triangle Q:
- Side 1^2 = 25^2 = 625
- Side 2^2 = 20^2 = 400
- Side 3^2 = 15^2 = 225
The Pythagorean Theorem is not satisfied for triangle Q because 625 (Side 1^2) is not equal to the sum of 400 (Side 2^2) and 225 (Side 3^2).
For triangle R:
- Side 1^2 = 26^2 = 676
- Side 2^2 = 20^2 = 400
- Side 3^2 = 46^2 = 2116
The Pythagorean Theorem is not satisfied for triangle R because 2116 (Side 3^2) is not equal to the sum of 676 (Side 1^2) and 400 (Side 2^2).
For triangle S:
- Side 1^2 = 25^2 = 625
- Side 2^2 = 20^2 = 400
- Side 3^2 = 1025^2 = 1050625
The Pythagorean Theorem is not satisfied for triangle S because 1050625 (Side 3^2) is not equal to the sum of 625 (Side 1^2) and 400 (Side 2^2).
For triangle T:
- Side 1^2 = 25^2 = 625
- Side 2^2 = 26^2 = 676
- Side 3^2 = 650^2 = 422500
The Pythagorean Theorem is satisfied for triangle T because 422500 (Side 3^2) is equal to the sum of 625 (Side 1^2) and 676 (Side 2^2).
Therefore, triangle T is the right triangle in the given table.