Question

in triangle PST angle s is 90degree and cot t is 7 upon 24 then find the length of PT

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Answer 1

Answer:

In△PQS

Bypythagorastheorem,

PS2+SQ2=PQ2

⟹PS2=PQ2−SQ2

⟹PS2=102−62

⟹PS2=100−36=64

⟹PS=8

In△PSR

⟹PS2+RS2=PR2(pythagoras)

⟹PR2=PS2+RS2

⟹PR2=64+(RQ+QS)2=64+152

⟹PR2=64+225

⟹PR

Answer 2

Answer:

PT=25

Step-by-step explanation:

Here, ΔPST is a right angled triangle at S

Therefore,

                  $PS^{2} + ST^{2} = PT^{2}$

$cot(t)=\frac{ST}{PS}$

let ST=7

& PS=24

$PS^{2}+ST^{2}=PT^{2}$

576+49

=625

∴$PT=\sqrt{625}$

∴ PT=25