Question

Q33, The hypotenuse of a right triangle is 17cm. If one of the remaining two sides is 8cm in
length. Find the length of the other side.​

Answer 1

Answer:

15cm

Step-by-step explanation:

IN a right angledΔ,

$Hypotenuse^{2} = Base^{2} + Altitude^{2}$

Let the length of the other side = x

$17^{2} = 8^{2} + x^{2}$

$x = \sqrt{17^{2} - 8^{2}$

  =  $\sqrt{ 289 - 64}$

  =  $\sqrt{ 225}$

  = $\sqrt{15 X 15}$

  = 15cm

⇒ The length of the other side= 15cm

Thank U : )

Answer 2

Given :

• Hypotenuse of a right triangle is 17cm.
• One of its side is 8cm.

To Find :

• Length of the other side .

Solution :

Using Pythagoras Theoram :

$\longmapsto\tt{{(AC)}^{2}={(AB)}^{2}+{(BC)}^{2}}$

$\longmapsto\tt{{(17)}^{2}={(8)}^{2}+{(BC)}^{2}}$

$\longmapsto\tt{289=64+{(BC)}^{2}}$

$\longmapsto\tt{289-64={(BC)}^{2}}$

$\longmapsto\tt{\sqrt{225}=BC}$

$\longmapsto\tt\bf{15=BC}$

So , The Length of other Side is 15cm ..