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dexar [7]
3 years ago
5

∆ABC, <B=90 •|AC|=50cm |BCI=14cm Find AB.​

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

Step-by-step explanation:

AC = 50 cm

BC = 14 cm

Pythagorean theorem,

AB² + BC² = AC²

AB² + 14² = 50²

AB² + 196 = 2500

AB² =  2500 - 196

AB² = 2304

AB = √2304

AB = 48 cm

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What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?
ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

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- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

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Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

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3 years ago
Rewrite the following improper fraction as a mixed number : 19/5
NeX [460]

Answer:

3 4/5

Step-by-step explanation:

8 0
3 years ago
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