Question

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.​

Answer 1

Answer:

x = 7$\sqrt{2}$ and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always $a\sqrt{2}$  so x = 7$\sqrt{2}$

Answer 2

The values of $x$ and $y$ are required.

The required values are

$x=9.9\ \text{units}$

$y=7\ \text{units}$

The given triangle is a right angled triangle.

Two given angles are $90^{\circ}$ and $45^{\circ}$

The sum of the angles is $180^{\circ}$

The missing angle is

$180-(90+45)=45^{\circ}$

Since, the two angles are equal the side opposite the angles will also be equal.

So,

$y=7$

Applying the Pythagoras theorem.

$7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9$

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