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Cloud [144]
3 years ago
7

triangles ABC and ACD are right triangles. AB is 28 meters long. AC is 21 meters long. Find the lengths of BC and AD.​

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

The length of BC = 18.52 m & AD = 28 m.

Step-by-step explanation:

Since Δ ABC & ΔACD are the right angles.

So BC = CD

From Δ ABC  

AB^{2} = AC^{2}  + BC^{2}

28^{2} = 21^{2}  + x^{2}

x^{2} = 784 - 441

x = 18.52 m

Thus BC = x = 1852 m

CD = BC = 18.52 m

Now from the ΔACD

AD^{2} = AC^{2} + CD^{2}

AD^{2} = 21^{2} + 18.52^{2}

AD = \sqrt{784}

AD = 28 m

Therefore the length of BC = 18.52 m & AD = 28 m.

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