Question

two sides being given, calculate the third side marked by a letter in each right angled triangle​.​

Answer 1

Answer:

its quite simple

use the Pythagoras theorem

$x \: = \: \sqrt{65}$

AND

$a \: = \: \sqrt{50}$

hope it helps

PLS MARK AS BRAINLIEST!!!!!!!

Answer 2

Answer :

In first triangle ,

$\sf\pink{given}$

• Base is 7

• opposite is 4

• hypotenuse is x

$\sf\pink{To\:find}$

• measure of x

By Pythagoras theorem ,

Hypotenuse ² = base² + opposite²

$\longrightarrow\sf{ x² = 7² + 4² }$

$\longrightarrow\sf{ x² = 49 + 16 }$

$\longrightarrow\sf{ x² = 65 }$

$\longrightarrow\sf{ x = \sqrt{65} }$

$\longrightarrow\sf{ x = 8.06 }$

In second triangle ,

$\sf\pink{given}$

• Base is 5

• opposite is 5

• hypotenuse is a

$\sf\pink{To\:Find}$

• measure of x

By Pythagoras theorem ,

Hypotenuse ² = base² + opposite²

$\longrightarrow\sf{ a² = 5² + 5² }$

$\longrightarrow\sf{ a² = 25 + 25 }$

$\longrightarrow\sf{ a² = 50 }$

$\longrightarrow\sf{ a= \sqrt{50} }$

$\longrightarrow\sf{ a = 7.07 }$