Question

Given that a=14 and b=25, work out the height of the triangle

Answer 1

Area for triangle =bh/2
if we draw a line through the middle of the triangle we can make it a right angle triangle and use it to work out the height with pythagoras.
If we half the triangle then a=7 and b will be 25 and b is the hypotenuse so to find the height we do root 25^2-7^2=24 so the height is 24 and if we work back and do 7 squared plus 24 squared and root the answer we get 25

Answer 2

Area of Triangle = (1/2)base*height

Pythagorean theorem:
$a^{2} + b^{2} = c^{2}$

a= 7cm
b= height(unkown)
c= 25cm
$7^{2} + b^{2} = 25^{2}$
$49 + b^{2} = 625$
$b^{2} = 576$
√b²=√576
b=24

height= 24 cm
base= 14cm
Area = (1/2)(14)(25)= 168cm²