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Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles5 Marks
Question
Construct a triangle with sides 5 cm 6 cm and 7 cm and then another triangle whose sides are $\frac{3}{5}$ of the corresponding sides of the first triangle.
✓

Answer

1. Draw a line regiment $BC =6 cm$
2. With $B$ as a centre and radius $=A B=5 cm$, draw an arc.
3. With C as centre and radius $= AC =7 cm$, draw another are, intersecting the are drawn in step 2 at the point A .
4. Join $A B$ and $A C$ to obtain $\triangle A B C$.
5. Below BC, mark an acute angle $\angle CBX$.
6. Along $B X$ mark off five points $B _1, B_2, B_3, B_4, B_5$ such that $BB _1= B _1 B_2= B _2 B_3= B _3 B_4= B _4 B_5$
7. Join $B_5 C$.
8. From $B _3$, draw $B _3 C ^{\prime}| | B _5 C$.
9. From C , draw $C ^{\prime} A ^{\prime}$ I I CA , meeting BA at the point $A^{\prime}$
Image
Then $A ^{\prime} BC ^{\prime}$ is the required triangle.

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