Question

Find the length of AC in a rectangle if AB= 15 cm and BC= 8 cm.​

Answer 1

Step-by-step explanation:

AB = 15cm BC=8cm

AC is a diagonal of the rectangle ABCD

ABC can be taken as a triangle According to Pythagoras theorem,

AB² + BC²= AC²

15²+8²=AC²

225+64= AC²

289=AC²

17cm=AC

Answer 2

Answer:

In rectangle ABCD,

AB=15cm

BC=8cm

Diagonal AC=?

Now,in right triangle ABC,

By Pythagoras theorem,

AC sq = AB sq+BC sq

AC sq = 15 sq+8sq

AC sq =225+64

AC sq=289

AC =√289

=17cm

Therefore,diagonal AC =17cm.