Question

right triangle xyz right angled at x and xy the base is 15 units. The perimeter is 40 units find tan y​

Answer 1

Step-by-step explanation:

Base=15. Hypotenuse=h. height=?

Perimeter=40

Base+Hypotenuse+height=40

15+h+height=40

height=40-(15+h)

height=25-h

In a right angled triangle

hypotenuse ²=base²+height²

(h)²=15²+(25-h)²

h²=225+25²+h²-2(25)(h)

50h=225+25²

50h=225+625

50h=850

h=17

hypotenuse=h=17

height=25-h=25-17=8

tanY=height/base

tanY=8/15