Question

length of two side of right angle triangle are equal to the square of hypotenuse is 800 m square find the length of its side​

Answer 1

Answer:

The two equal sides of the triangle is 20cm.

Step-by-step explanation:

Given :

The length of two sides of a right triangle are equal.

Square of the hypotenuse - 800 cm²

To find  :

The length of each side.

Solution :

Let two equal sides be - x

We know that :

$\bigstar\;\boxed{\bf H^2 = P^2 + B^2}$

Where,

H → Hypotenuse.

P → Perpendicular.

B→ Base.

Now,

Put the values,

$\bf\\ \\\implies H^2 = x^2 + x^2\quad [P,B\;are\;equal\;to\;x]\\ \\ \sf\\ \implies 800 = 2x^2\\ \\ \implies x^2 = 400\\ \\ \implies x = \sqrt{400}\\ \\\bf \implies x = 20$

Now,

We get : x = 20 cm,

Perpendicular and base = 20 cm.

∴ The two equal sides of the triangle is 20 cm.

Answer 2

AnswEr :

• Length of two Equal Sides of Right Angle Triangle are Equal to Hypotenuse.
• Square of Hypotenuse of Right Angled Triangle is 800 m²
• Find Length of Other Sides.

Let Assume the Other two Equal Sides of Triangle be x metre.

⠀⠀⋆ p = b = x metre

As, This is Right Angle Triangle that's why we can Apply Pythagoras Theorem here.

• By Pythagoras Theorem here :

$\Longrightarrow \large\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$

⠀⠀⋆ plugging the Values

$\Longrightarrow \large\sf{800 \: {m}^{2} = {x}^{2} + {x}^{2} }$

$\Longrightarrow \large\sf{800 \: {m}^{2} = 2 {(x)}^{2} }$

$\Longrightarrow \large\sf{ \cancel\dfrac{800 \: {m}^{2} }{2} = {x}^{2} }$

$\Longrightarrow \large\sf{400 \: {m}^{2} = {x}^{2} }$

$\Longrightarrow \large\sf{x = \sqrt{400 \: {m}^{2} } }$

$\Longrightarrow \large\sf{x = \sqrt{20m \times 20m} }$

$\Longrightarrow \large \boxed{\sf{x =20 \: m }}$

⠀

჻ Equal Length of Sides of Triangle is 20m.