The shortest side of a right triangle measures 7 m. The lengths of the other two sides are consecutive even integers. Find the lengths of the other two sides.

Question

The shortest side of a right triangle measures 7 m.  The lengths of the other two sides are consecutive even integers.  Find the lengths of the other two sides.

coolio100 · Answer

How do we figure out the second legs size? Or do we have to find the hypotenuse first?

jiteshmeghwal9 · Answer

Solve for x and find the length of the other side

coolio100 · Answer

X=45/4?

jiteshmeghwal9 · Answer

Length of shortest side is 7 m
Length of the other side is 2x m
Length of hypotenuse become 2x+2 m

Apply Pythagoras theorem
(7)^2+(2x)^2=(2x+2)^2

jiteshmeghwal9 · Answer

@Coolio100

coolio100 · Answer

O that's why it's not making any sense the shortest size measures 6 not 7!  Sorry I miss typed

vuriffy · Answer

36 + 4x^2 = 4x^2 + 8x + 4

vuriffy · Answer

Solve for x, I would believe.

jiteshmeghwal9 · Answer

Just replace 7 by 6 in my equation and solve for x

vuriffy · Answer

I got x = 4.
36 + 64 = 100.
Lengths are 6, 8, and 10.

triciaal · Answer

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