Answered

The area of a right triangle is 270 m². The height of the right triangle is 15 m.


What is the length of the hypotenuse of the right triangle?

Verified Answer :

MissPhiladelphia

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2
b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

We know, area of right triangle = ab / 2
Here, area = 270
a = 15 m
b = ?

Substitute their values into the expression:
270 = 15*b / 2
15b = 540
b = 540 /15
b = 36

Now, H² = a² + b²
H² = 36² + 15²
H = √1521
H = 39

In short, Your Answer would be 39 meter

Hope this helps!

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