Question

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

Answer 1

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.