Question

The three sides of a right triangle
form three consecutive even
numbers. Find the lengths of the
three sides, measured in feet.

Answer 1

Answer:

Let the one side be 90 degree ( as it is right angled triangle) and other side be X

90 + X + X = 180

90 + 2X = 180

2X = 180 - 90

2X = 90

X = 90 / 2

X = 45

So, Angles are 90, 45, 45

Answer 2

Answer:

Step-by-step explanation:

Using sine law,

n−1

sinα

​

=

n+1

sin2α

​

⇒2cosα=

(n−1)

n+1

​

⇒cosα=

2(n−1)

n+1

​

∴

2n(n+1)

n

2

+(n+1)

2

−(n−1)

2

​

=

2(n−1)

(n+1)

​

 (using cosine law)

⇒

2n+(n+1)

n

2

+4n

​

=

2(n−1)

(n+1)

​

⇒

2(n+1)

n+4

​

=

2(n−1)

n+1

​

⇒(n+1)

2

=(n+4)(n−1)

∴n=5

Hence, lengths of the side of the triangle are 4,5 and 6.