Question

Drag each length to the comect location on the triangle. Each length can be used more than once, but not all lengths will be used.

What are the missing side lengths of the triangle?
2.5
10
.
5√3 5√2
45
7
45%
C
Reset
Next
C

Answer 1

The sides of the triangle are 5√2 , 5√2 and 10.

What is a Triangle ?

A triangle is a polygon with three sides , three vertices and three angles , When one angle is equal to 90 degree , it is called a Right Angled Triangle.

It is given that two angles given is 45 and 45 degree each so by using trigonometric ratios the sides can be calculated.

From the data given in the image

sin 45 ° = 5√2 / x

x = 5√2 / sin 45°

x = 10

The hypotenuse = 10

From The Pythagoras theorem

10² = (5√2)² + y²

y = (5√2) unit

Therefore the sides are 5√2 , 5√2 and 10.