Question

Construct a triangle XYZ in which XY =6cm YZ =8cm and ZX=10cm using protractor find the angle at X what type of triangle is this ?

Answer 1

X= 53.13°

1) Firstly, it's an easy task to find out the magic numbers for triangle and they are- 6, 8, 10. So, we can easily determine the structure of the triangle and it's a right triangle. Because it follows the Pithagora's formula:

(ZY×ZY)+(XY×XY)=(XZ×XZ)

=>

${8}^{2} + {6 }^{2} = {10}^{2}$

So that, <Y=90°.

2) Then <X=?

We know that,

tan<X =YZ/XY

So that, <X= tan^(-1)(8/6)

=> <X= 53.13°

In conclusion, you haven't to use any sorts of geomatrical instruments.