Question

Find the value of y. Round to the nearest hundredth, if necessary.

Y
8 cm
13 cm
A 14.42 cm
B15.26 cm
C21 cm
D25 cm

Answer 1

15.26 cm

Explanation:

The given triangle is a right angled triangle, with perpendicular and base as 13cm and 8cm respectively, we need to find out y which is hypotenuse.

From Pythagoras theorem,

`\implies \rm h^2=p^2+b^2\\`

`\implies \rm h =√((13cm)^2+(8cm)^2)\\`

`\implies \rm h =√(169cm^2+64cm^2)\\`

`\implies \rm h = √( 233)=\boxed{15.26\ cm }`

and we are done!

-Rishabh