How do you find the missing side of a triangle

Posted By Admin @ September 03, 2022

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:

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

Learn more:

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