Which of th following are the lengths of the sides of a right triangle?

Question

a. 3,4,6
b. 25,30,35
c. 10,60,65
d. 6,9,12
e. 9,12,15

Answer 1

Try this: a(squared) + b(squared) = c(squared), where a and b are the perpendicular sides of a right triangle and c is the hypotenuse. Plug in your numbers and see which ones add up correctly.

Answer 2

The answer is e. Using the Pythagorean Theorem a^2 + b^2 = c^2, where 9 and 12 are sides a and b and 15 is the hypotenuse (c), it is a fact that 9^2 = 81; 12^2 = 144; 15^2 =225 and 81 + 144 = 225.

Answer 3

Recall: If a triangle can only be classified as a right triangle if and only of a^2+b^2=c^2.
(you want c to be the greater number.)

We will use the formula to determine which of the following are the lengths of a right triangle.

a.) 3^2+4^2=6^2
9+16=36
25=36
Since 25 does not equal 36. This can not be a right triangle.

continue unitl you find a solution.

Answer 4

Do your own homework!

Remember the Pythagorean theorem: The sum of the sqaures of the sides equals the square of the hypotenuse.

81 + 144 = 225

Answer 5

In a right angled triangle the sum of squares of two sides is equal to the square of the hypotenues.
a. 9,16,36 not a right angled triangle
b. 625, 900, 1225 not a right angled triangle
c. 100,3600,4225 not a right angled triangle
d. 36,81,144 not a right angled triangle
e. 81,144,225 a right angled triangle 81+144 = 225

Only e. is right angled triangle

Answer 6

PYTHAGOREOM THEOREM!


RIGHT TRIANGLES:
A is a right traingle.
9+16=36 square root of 36 is 6.
B NOT
625+900=1525 square root is 39
C NOT
D NOT
36+81=117 square root is 10.81
E IS A RIGHT TRAINGLE
81+144=225 square root is 15
100+3600=3700 square root is 60.82

Answer 7

a² = b² + c²
225 = 144 + 81
Answer is e)
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