Chapter 9.8, Problem 4PSA

a

To determine

To calculate: The Length of HB .

Answer to Problem 4PSA

Length of HB is $17\text{ units}$ .

Explanation of Solution

Given information:

Here, we have given a cuboid, in which GC = $8$ , HG = $12$ and BC = $9$

Formula used: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

Calculation: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

  $\begin{array}{l}\Rightarrow \sqrt{{(8)}^2 +{\text{ (12)}}^2 +{(9)}^2}\\ \Rightarrow \sqrt{64+\text{ 144} +81}\\ \Rightarrow \sqrt{289}\\ \Rightarrow 17\end{array}$

b

To determine

To calculate: Length of AG

Answer to Problem 4PSA

Length of AG is $17$ units.

Explanation of Solution

Given information:

Here, we have given a cuboid, in which GC = $8$ , HG = $12$ and BC = $9$

Formula used: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

Calculation: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

  $\begin{array}{l}\Rightarrow \sqrt{{(8)}^2 +{\text{ (12)}}^2 +{(9)}^2}\\ \Rightarrow \sqrt{64+\text{ 144} +81}\\ \Rightarrow \sqrt{289}\\ \Rightarrow 17\end{array}$