Question

If the square of hypotenuse of a right angled isosceles triangle is 578 cm², then
find the length of each of its equal sides.
Please answer correctly​

Answer 1

Answer:

17 cm

Step-by-step explanation:

Let the equal sides of the triangle be x.

Then according to pythagoras theory

${x}^{2} + {x}^{2} = 578 \\ {2x}^{2} = 578 \\ {x}^{2} = 578 \div 2 \\ {x}^{2} = 289 \\ x = \sqrt{17 \times 17} \\ x = 17$

The side of the triangle is 17 cm.

Hope it helps you.

Pls mark branliest.

Answer 2

Ans17Answer:

17 cm

Step-by-step explanation:

Let the equal sides of the triangle be x.

Then according to pythagoras theory

\begin{gathered} {x}^{2} + {x}^{2} = 578 \\ {2x}^{2} = 578 \\ {x}^{2} = 578 \div 2 \\ {x}^{2} = 289 \\ x = \sqrt{17 \times 17} \\ x = 17\end{gathered}

x

2

+x

2

=578

2x

2

=578

x

2

=578÷2

x

2

=289

x=

17×17

x=17

The side of the triangle is 17 cm.

Hope it helps you.

Pls mark branliest.wer:

17

Step-by-step explanation:

Let the equal sides of the triangle be x.

Then according to pythagoras theory

\begin{gathered} {x}^{2} + {x}^{2} = 578 \\ {2x}^{2} = 578 \\ {x}^{2} = 578 \div 2 \\ {x}^{2} = 289 \\ x = \sqrt{17 \times 17} \\ x = 17\end{gathered}

x

2

+x

2

=578

2x

2

=578

x

2

=578÷2

x

2

=289

x=

17×17

x=17

The side of the triangle is 17 cm.

Hope it helps you.

Pls mark branliest.:

17 cm

Step-by-step explanation:

Let the equal sides of the triangle be x.

Then according to pythagoras theory

\begin{gathered} {x}^{2} + {x}^{2} = 578 \\ {2x}^{2} = 578 \\ {x}^{2} = 578 \div 2 \\ {x}^{2} = 289 \\ x = \sqrt{17 \times 17} \\ x = 17\end{gathered}

x

2

+x

2

=578

2x

2

=578

x

2

=578÷2

x

2

=289

x=

17×17

x=17

The side of the triangle is 17 cm.

Hope it helps you.

Pls mark branliest.

Answer:

17 cm

Step-by-step explanation:

Let the equal sides of the triangle be x.

Then according to pythagoras theory

\begin{gathered} {x}^{2} + {x}^{2} = 578 \\ {2x}^{2} = 578 \\ {x}^{2} = 578 \div 2 \\ {x}^{2} = 2{17 \times 17} \\ x = 17\end{gathered}

x

2

+x

2

=578

2x

2

=578

x

2

=578÷2

x

2

=289

x=

17×17

x=17

The side of the triangle is 17 cm.

Hope it helps you.

Pls mark branliest.