Perimeter of right añgle triangle is 50 cm and the hypotnuse is 18 CM
find area
Answers
Answered by
3
Let a is base , b is height and c is hypotenuse
We know that
a + b + c = 50 ===> eqn 1
a² + b² + c² ===> eqn 2
From above equation 1
a + b + c = 50
a + b = 50 - c
Squaring on both sides
(a+b)² = (50-c)²
a² + b² + 2ab = 2500 + c² - 100c
Put in eqn 2
c² + 2ab = 2500 - 100c + c²
Hypotenuse ( c ) = 18 cm
c² + 2ab = 2500 - 100 × 18 + c²
c² + 2ab = 2500 - 1800 + c² - c²
[ Cancel the + c² and - c² ]
2ab = 2500 - 1800
2ab = 700
ab = 700 / 2
ab = 350
Area of traingle = 1/2 × b × h
===> 1/2 × a × b
===> 1/2 × 350
===> 175 cm²
Similar questions