In a rectangle ,If diagonals are of length 5x+1 and 2x+4 .Then x=___ *

### 1 thought on “In a rectangle ,If diagonals are of length 5x+1 and 2x+4 .Then x=___ *”

### Leave a Comment

You must be logged in to post a comment.

In a rectangle ,If diagonals are of length 5x+1 and 2x+4 .Then x=___ *

You must be logged in to post a comment.

Answer:Correct answer:

413−−√

Explanation:

The rectangle can be cut into two equal right triangles, where the hypotenuse of both is the rectangle’s diagonal.

Use the Pythagorean Theorem to find the hypotenuse:

a2+b2=c2, where a and b are the legs and c is the hypotenuse

(12)2+(8)2=c2

144+64=c2

208=c2

208−−−√=c2−−√

c=413−−√