Atriangle has side lengths of 11 cm, 60 cm, and 61. which is the correct equation to verify whether the side lengths form a right triangle?
fast !

You would use the Pythagorean Theorem

a^2 + b^2 = c^2

The sides 'a' and 'b' are the legs of the right triangle. The side c is the hypotenuse or the longest side. In this case, the longest side is c = 61. The other two sides are a = 11 and b = 60. The order of 'a' and 'b' does not matter.

Let's use the substitution property to plug in the given values mentioned and we will get...

a^2 + b^2 = c^2

11^2 + 60^2 = 61^2

121 + 3600 = 3721

3721 = 3721

We get the same number on both sides; therefore, the original equation is true when (a,b,c) = (11,60,61).

This all confirms we do have a right triangle. The right angle is opposite the hypotenuse. This is due to the rule that the largest angle of a triangle is always opposite the largest side.

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -