Question

A right-angled triangle is isosceles. if the hypotenuse is of length equal to the square root of 50(in cm), what is the length of each of its legs?​

Answer 1

Answer:

Triangle is isosceles that is why

one side = other side = x

by Pythagoras theoram-

h² = p² + b²

50 = x + x

2x = 50

x = 50/2

x = 25 m

one side = other side = 25m......

Step-by-step explanation:

The length of  Perpendicular and  base is 5 cm and Hypotenuse is 7.07 cm

Step-by-step explanation:

Given :A right angled triangle is isosceles

To Find : If the square of the hypotenuse is 50 m², what is the length of each of its sides

Solution:

A right angled triangle is isosceles

So, Perpendicular = base=×

Let the base be x

So,  Perpendicular = base

We are given that

$hypotenuse {}^{2} = 50$

Pythagoras theorem.

$hypotenuse { }^{2} = perpendicular {}^{2} + base {}^{2} \\ 50 = x {}^{2} + x {}^{2} \\ 50 = 2x {}^{2} \\ 25 = x {}^{2} \\ \sqrt{25} = x \\ 5 = x$

So,Perpendicular=base=5cm

$hypotenuse = \sqrt{50 } = 7.07$

So, The length of Perpendicular and base is 5 cm and Hypotenuse is 7.07 cm....