A right triangle has legs with lengths of 25cm and 37 cm find the length of the hypotenuce

1 answer:

6 0

The Pythagorean theorem is a^2 + b^2 = c^2 where a and b are the legs, and c is the hypotenuse. We know the legs are 25 and 37, so we have 25^2 + 37^2 = c^2
625 + 1369 = c^2
1994 = c^2
Take the square root of both sides to get c
44.65 = c

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On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the

Andru [333]

The midpoint formula is $\frac{ x_{1} + x_{2} }{2}, \frac{ y_{1}+ y_{2} }{2}$
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ; y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint).

The distance formula is a bit more complicated than that. The distance formula is D= $\sqrt{({y_{2}- y_{1} }^{2}) + ({ x_{2}- x_{1}}^{2} ) }$
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D= $\sqrt{(-5-2)^{2} + (-5-0)^{2} }$
= $\sqrt{49+25}$
= $\sqrt{74}$ ≈8.6023