Question

Find the missing side in each of the given triangle.​

Answer 1

Answer:

400-144=√256=16m

16m is the missing side

Answer 2

Answer:

• Missing side of triangle is 16 m

Step-by-step explanation:

Gɪᴠᴇɴ:-

• One angle of triangle is 90°.
• Two sides of triangle are 20 m and 12 m.

Tᴏ ꜰɪɴᴅ :-

• Measure of missing side.

Sᴏʟᴜᴛɪᴏɴ :-

We will use Pythagoras theorem:

• Pythagoras theorem is the theorem which states that square of hypotenuse is equal to the sum of squares of the other two sides of right angle triangle.
• Hypotenuse is the longest side of right angle triangle. This side is opposite to 90° angle.
• This Pythagoras theorem is written in formula as: Hypotenuse² = Base² + Perpendicular²

So, Above formula we can write:

✽ Perpendicular² = Hypotenuse ² - Base²

Let, Longest side of triangle be AC, Second side which is having measure 12 m be BC.

And let, Missing side be AB

So,

Perpendicular = AB (To find)

Base = BC = 12m

Hypotenuse = AC = 20 m.

Put all values in Pythagoras theorem:

$\longrightarrow$ AB² = AC² - BC²

$\longrightarrow$ AB² = (20)² - (12)²

$\longrightarrow$ AB² = 400 - 144

$\longrightarrow$ AB² = 256

$\longrightarrow$ AB = √256

$\longrightarrow$ AB = 16

We take AB be third side.

So,

Missing side of triangle is 16 m.