Question

Tools - Question 1 In the right triangle shown, what is the value of PQ? 17 cm 15 cm A 2 cm B 4 cm с 8 cm OLULI Illuminate Education TM Inc.the answer choices is a. 2cm, b, 4cm. c,8cm.d, 16cm

Answer 1

c. 8

Step-by-step explanation:

The Pythagorean theorem says that if we have a right triangle with sides a, b, and c, where c is the longest side, then, the following equation applies:

`c^2=a^2+b^2`

In this case, we know the value of c and the value of one of the sides, so we can replace the values and solve the equation for the missing side. Therefore, the value of PQ can be calculated as:

`17^2=15^2+\bar{PQ}^2`

So, solving for PQ, we get:

`\begin{gathered} 289=225+\bar{PQ}^2 \\ 289-225=225+\bar{PQ}-225 \\ 64=\bar{PQ} \\ \sqrt[]{64}=\bar{PQ} \\ 8=\bar{PQ} \end{gathered}`

Therefore, the value of PQ is 8 cm.