Question

In triangleXYZ right-angled at X. has the base XY = 15 units and the perimeter of the triangle is 40 units. Find
the value of tan Y.​

Answer 1

Step-by-step explanation:

In a triangle XYZ, angle Y is right angle.

So, Hypotenuse is XZ=17cm

YZ=15cm

Pythagoras theorem says:

XZ^2=XY^2+YZ^2

XY^2=1712-15^2

XY^2=64

= > XY=8cm

Sin X= Opposite side of angle X/

Hypotenuse

=YZ/XZ

Sin X = 15/17

Cos Z =Adjacent side of angle Z//

Hypotenuse

=YZ/XZ

Cos Z = 15/17

Tan X = Opposite side of angle X / Adjacent side of angle X

=YZ/XY

Tan X = 15/8