Question

please solve me the 6th and 7th one
it's urgent and don't send direct answer send with step by step

Answer 1

Pr=15

Sr=12

So by Pythagoras

Pr Sq. =Sr Sq. +ps Sq.

15 square =12 square +x square

225=144+x

225 - 144=x square

X square =81

X=root of 81

Ans.=9

Answer 2

in the 6 th question..
both the triangles are isosceles so the angels will also be same..let it be a
in triangle PQR
a +a+55=180
2a=180-55
a=125/2=64.5 degrees

angle PQR=PQR=64.5 degrees

same case in the other triangle ..let it be x
x+x+45=180
2x=180-45
x=135/2=67.5 degrees

angleSQR=SRQ=67.5 degrees
angle PQS=PRS=64.5+67.5=132 degrees

in the seventh question..

the rectangle forms two right angled triangles
applying Pythagoras theorem

15^2=12^2+PS^2
PS^2=225-144
PS=9 m

it will be the width of the rectangle