"Triangles ABC and DEF are similar triangles. Solve...." was answered by our experts

High School
Geometry
Trigonometry
Non-right triangles and trigonometry

Asher Kaufman

Open question

2022-08-17

Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth.
Find the height of triangle DEF.

\underset{―}{} m

Answer & Explanation

penzionekta

Beginner2022-08-18Added 8 answers

Step 1
Here, triangu ABC and DEF are Similar triangles.
Need to find the height of DEF.
For the similar triangles , theralios of the corresponding sidos are eguol and also the corresponding heights are egual to the corresponding sides.
Therefere ,we can lorite.
$\frac{A B}{D E} = \frac{A C}{D F} = \frac{B C}{E F} = \frac{h e i g h t o f A B C}{H e i g h t o f D E F}$
Substitute the values of known sides, we get
$∣ \frac{A B}{D E} = \frac{3}{5} = \frac{B C}{E F} = \frac{2}{H e i g h t o f D E F}$
$∴ \frac{3}{5} = \frac{α}{H e i g h t o f D E F}$
$\Rightarrow H e i g h t o f D E F = \frac{5 \times 2}{3}$
$= \frac{10}{3}$
$= 3 \cdot 3 m$

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Trigonometry

Didn't find what you were looking for?