CBSE Class 10 Maths (Standard) 2025 · Paper 30(B)/S · Question 37

Triangles 4 marks Medium

Case Study - 2: On a road leading to a school, there is a triangle (ABC) shaped board on the road. It is divided into two parts by a line

D E

, which is parallel to

B C

. On the upper part it is written 'DRIVE SLOW' and on the lower part it is written, 'SCHOOL AHEAD'. Based on the information given above, answer the following questions:

iIf $A D = 3$ cm, $B D = 5$ cm and $A E = 4$ cm, then find the length of $A C$ .[1]
iiIf $∠ A D E = 5 0^{\circ}$ and $∠ D A E = 4 5^{\circ}$ , then find $∠ A C B$ .[1]
iii(a)If $A D = 4$ cm and $B D = 6$ cm, then find $\frac{D E}{B C}$ .[2]
iii(b)If $A D = 3$ cm, $B D = 6$ cm and $A E = 5$ cm, then find $\frac{A B}{A C}$ .[2]

Answer

(i)

A C = \frac{32}{3}

cm; (ii)

∠ A C B = 8 5^{\circ}

; (iii)(a)

\frac{D E}{B C} = \frac{2}{5}

; (iii)(b)

\frac{A B}{A C} = \frac{3}{5}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2025 · Paper 30(B)/S, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2025 · Paper 30(B)/S · Question 37

Answer

From the board paper

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