Question

The hypotenuse of a right triangle is 26cm long if one of the remaining two sides is 10cm in length find the other

Answer 1

Answer:

length of other side is 24 cm

Step-by-step explanation:

we know that h^2 = p^2 + b^2

so, let h = 26cm and p = 10 cm

so, 26^2 = 10^2 + b^2

676 = 100 + b^2

b^2 = 576

b = √576

b = 24 cm

Answer 2

• Other side is 24 cm.

Step-by-step explanation:

Given:-

• Hypotenuse of right triangle is 26 cm.
• One of remaining side of triangle is 10 cm.

To find:-

• Other side.

Solution:-

Let 10 cm be Base.

And Perpendicular be other side.

According to Pythagoras theorem :-

$\star \sf \: \bold{ Perpendicular^{2} + {Base}^{2} = Hypotenuse^{2}}$

Perpendicular = ?

Base = 10 cm

Hypotenuse = 26 cm

$\longrightarrow \sf Perpendicular^{2} + ({10)}^{2} = {(26)}^{2}$

$\longrightarrow \sf Perpendicular^{2} + 100 = 676$

$\longrightarrow \sf Perpendicular^{2} = 676 - 100$

$\longrightarrow \sf Perpendicular^{2} = 576$

$\longrightarrow \sf Perpendicular = \sqrt{576}$

$\longrightarrow \sf \bold{Perpendicular = 24}$

We have taken Perpendicular be other side.

Therefore

Other side is 24 cm.