Johngabicaidn
Answered

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Solve by using Joint Variation
The area A of a triangle varies jointlyas the base B and the altitude H of the triangle . If A=65cm² when B=10cm and H= 13cm. Find the area of a triangle whose base is 8cm and whose altitude is 11cm, 

pls. help . thank you :D

Sagot :

Shinalcantaraidn
Since it is varied jointly then we can say that it is directly proportional that when you increase any of the base or height, the area will increase.
Disregarding the formula for the triangle and having it as an equation of joint variation then you'll have
A = kbh
where A is the area, b is the base length, h is the height/altitude and k is the constant. 
Substituting you'll have:
A =kbh
65 = k(10)(13)
k = 65/130
k = 1/2
For the given b=8cm, h=11cm you'll have
A = kbh
A = (1/2)(8)(11)
A = 44 cm²
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