Question

Due in 30 mins help plssss

Answer 1

`x=7√(2)`

Explanation:

The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,

`x-x-x√(2)`

Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. (
`x√(2)`) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).

`x=(a)/(√(2))`

Substitute,

`x=(14)/(√(2))`

Simplify,

`x=(14)/(√(2))\\\\x=(14*√(2))/(√(2)*√(2))`

`x=(14√(2))/(2)`

`x=7√(2)`

Answer 2

x =
`7√(2)`

Explanation:

a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .

since the other two sides are equal both should be denoted as x.

now the value of a is given i.e 14 m

using pythagoras theorem,

pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,

a^2 + b^2 = c^2

x^2 + x^2 = 14^2

2x^2 = 196

x^2 = 196/2

x^2 = 98

x =
`√(98)`

x =
`7√(2)`