Question

What is YZ? Enter your answer as a decimal in the box

Answer 1

Answer:

YZ=12.2 units

Step-by-step explanation:

We are given that

XZ=ZW and VY=YW

XV=24.4 units

We have to find the value if YZ.

To find the value of YZ we will use mid-point theorem.

XZ=ZW

Therefore, Z is the mid- point of XW.

When VY=YW then, Y is the mid point of VW.

By mid-point theorem

$YZ\parallel VX$ and $YZ=\frac{1}{2}VX$

Substitute the value of VX then, we get

$YZ=\frac{1}{2}\times 24.4$

YZ=12.2 units.

Hence, the value of YZ=12.2 units

Answer 2

Area of a triangle -- "side -angle-side" method.

Area=12⋅a⋅b⋅sinC
where a,b are the two known sides and C is the included angle.

⇒Area=12⋅8⋅7⋅sin28∘=13.145=13.1 unit2 (to the nearest tenth)