Question

1)The length of the longest segment which can be drawn in a rectangle with length 15cm and breadth 8cm is ----
27cm
23cm
17cm
7cm​

Answer 1

$\huge\mathfrak\red{✔Answer:-}$

Use the Pythagorean Theorem.

a^2 + b^2 = c^2

When you put a diagonal line from a corner of a rectangle to another, you make two right triangles.

Then,

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

Get the square root of 289 to eliminate the ^2 on c, you’ll get 17.

Answer 2

Use the Pythagorean Theorem.

a²+ b²= c²

When you put a diagonal line from a corner of a rectangle to another, you make two right triangles.

Then,

8²+ 15²= c²

64 + 225 = c²

289 = c²

Get the square root of 289 to eliminate the ^2 on c, you’ll get 17.