Without using set squares or protractor construct a triangle ABC … - Vidyadip

Question

Without using set squares or protractor construct a triangle ABC in which AB = 4 cm, BC = 5 cm and ∠ABC = 120°.
(i) Locate the point P such that ∠BAp = 90° and BP = CP.
(ii) Measure the length of BP.

✓

Answer

(i) Draw ⊥ bisector of BC. Draw AP at A such that ∠PAB = 90°. The point of intersection P of bisector and AP is the required point.
(ii) BP = 6·5 cm.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Question Answer]" from Loci (Locus and its Constructions)→Loci (Locus and its Constructions) — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

In Fig. AP is a tangent to the circle at P, ABC is secant and PD is the bisector of ∠BPC. Prove that ∠BPD = $\frac{1}{2}$ (∠ABP - ∠APB).

Solve: $\frac{2 x-3}{4} \geq \frac{1}{2}, x \in\{0,1,2, \ldots, 8\}$

Solve the inequation:

3 – 2x ≥ x – 12 given that x ∈ N.

Find the weight of a lead pipe $35 \ cm$ long. The external diameter of the pipe is $2.4 \ cm$ and the thickness of the pipe is $2mm,$ given $1 \ cm^3$ of lead weighs 10 gm.

Complete the following figure, about the given lines of symmetry which are shown by dotted lines and name the figure thus obtained:

Solve equation by factorization : $2x^2 – 9x + 10 = 0$,when $x\in N$

In a basket, the ratio between the number of oranges and the number of apples is 7: 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1: 2. Find the original number of oranges and the original number of apples in the basket.

Find the co-ordinates of the centroid of a triangle ABC whose vertices are: $A(-1, 3), B(1, -1)$ and $C(5, 1)$

Describe the locus for questions 1 to 13 given below:
The locus of a point P, so that:
$A B^2=A P^2+B P^2$,
Where A and B are two fixed points.

Find the values of $x$ if $p + 7 = 0, q – 12 = 0$ and $x^2 + px + q = 0,$