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In right triangle qrs, angle r is a right angle. The altitude rt is drawn to hypotenuse qs. If qr is 20 and qs is 25 then find the length of qt.

Respuesta :

zainebamir540

Answer:

The length of qt is 15

Step-by-step explanation:

According to Pythagorean Theorem

c² = a²  + b²

c² -  a² = b²  

25² -  20² = b²  

625 - 400 = b²  

225 = b²  

Taking square root on both sides

b = 15

ashishdwivedilVT

The length of QT in the given right angle triangle QRS is 16.

It is given that,

In a right angle triangle QRS

R is the right angle

RT is altitude drawn to the hypotenuse QS

QR  = 20

QS = 25

What is Pythagoras Theorem?

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

So, RS = [tex]\sqrt(({25})^2-(20)^2)[/tex] = 15 (By Pythagoras theorem)

As we know,

[tex]QT = \frac{QR^{2} }{QS}\\\\[/tex]

QT =  400/25

QT =16

Therefore, the length of QT in the given right angle triangle QRS is 16.

To get more about right triangle visit:

https://brainly.com/question/22364396

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