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Answered

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

In The Adjoining Figure Find The Values Of X And Y class=

Sagot :

lublana

Answer:

x=5 cm,y=12 cm

Step-by-step 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

[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]

In right triangle RQP

Using Pythagoras theorem

[tex]RP^2=RQ^2+PQ^2[/tex]

Substitute the values

[tex]x^2=3^2+4^2[/tex]

[tex]x^2=9+16[/tex]

[tex]x^2=25[/tex]

[tex]x=\sqrt{25}=5[/tex]cm

Now,

In triangle RPS

[tex]RS^2=RP^2+SP^2[/tex]

[tex](13)^2=5^2+y^2[/tex]

[tex]169=25+y^2[/tex]

[tex]169-25=y^2[/tex]

[tex]144=y^2[/tex]

[tex]y=\sqrt{144}=12[/tex] cm

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