Question

In right triangle RST below, altitude SV is drawn to

Answer 1

Answer:

ST = 12.2

Step-by-step explanation:

See the attached diagram of the triangle.

Here, Δ RST, Δ RSV and Δ STV all are right triangles.

If we assume that, ST = x and SR = y, then

From Δ RSV and Δ STV we get,

SV² = RS² - RV² = ST² - VT²

⇒ y² - 4.2² = x² - 10.3²

⇒ x² - y² = 88.45 .......... (1)

Now, from Δ RST, we have

ST² + SR² = RT²

⇒ x² + y² = (10.3 + 4.2)² = 210.25 .............. (2)

Now, adding equations (1) and (2) we get,

2x² = 298.7

⇒ x² = 149.35

⇒ x = 12.2 (Rounded to the nearest tenth}

So, ST = 12.2 (Answer)