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A triangle with an area of 10 square meters has a base of 4 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?

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Sagot :

ktseng26

Answer:

15

Step-by-step explanation:

How to calculate a triangle :

(b*h)/2

(4*5)/2=10!

A similar triangle should have a ratio of base and height 4:5

4*5=20/2=10 (Not 90)

8*10=80/2=40(Not 90)

12*15=180/2=90!

So 12 is the base and 15 is the height. :)

Answer:

10 = (1/2)4h  →   20 = 4h     →  h = 5  So the base of the first triange is 4m and the height is 5m Note that the area of our new triangle is 9 times the area of the old then each dimension will be sqrt(9)  = 3 times as much as the old so  The base of the new triangle will be 4*3  = 12m  And the height will be  5 * 3  = 15m  Proof:  A = (1/2)(12)(15)  = (1/2) * 180  = 90 m^2

Step-by-step explanation:

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