Question

In the adjoining figure, find the values of X and Y.​

Answer 1

x=5 cm,y=12 cm

Explanation:

We are given that

RQ=3 m

PQ=4 cm

RP=x cm

RS=13 cm

SP=y cm

We know that Pythagoras theorem

`(Hypotenuse)^3=(base)^2+(perpendicular\;side)^2`

In right triangle RQP

Using Pythagoras theorem

`RP^2=RQ^2+PQ^2`

Substitute the values

`x^2=3^2+4^2`

`x^2=9+16`

`x^2=25`

`x=√(25)=5`cm

Now,

In triangle RPS

`RS^2=RP^2+SP^2`

`(13)^2=5^2+y^2`

`169=25+y^2`

`169-25=y^2`

`144=y^2`

`y=√(144)=12` cm