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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.​-example-1
User Okalex
by
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1 Answer

10 votes

Answer:

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)=5cm

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

User Tylerthemiler
by
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