Question

Radha bought a new chain having 24 cm length, using this she made a right angled triangle. What will be the measures of the right angled triangle?

Answer 1

The sides are `6cm, 8cm and 10 cm`

The angles of the triangles are `90°, 53.13°, 36.87°`

Explanation:

The ratio of the sides of a common right-angled triangle is `3:4:5`

Let the sides be: `" " 3x:4x:5x`
so,

`3x+4x+5x=24" "` [the sum of the sides is `24`]

by solving the equation we get that `x=2`

so, the sides are `6, 8 and 10cm`

Now let an angle of the triangle be `y`

so `siny= "opposite"/"hypotenuse"`

`siny= (8/10) = 0.8`

`y= 53.13°`

So the remaining angle:

`=180°-(90°+53.13°)`

`=36.87°`