Question

If base of a triangle = 18 and its perpendicular is = 12
Find its hypotenuse and area?

Answer 1

Steps of Construction

(i) Draw BC = 12 cm.

(ii) Construct ÐCBY = 90°.

(iii) From ray BY, cut-off line segment BD = 18 cm.

(iv) Join CD.

(v) Draw the perpendicular bisector of CD intersecting BD at A.

(vi) Join AC to obtain the required △ABC.

Justification

Since A lies on the perpendicular bisector of CD.

Therefore, AD = AC

Now, BD = BA + AD

⇒ BD = AB + AC

Hence, △ABC is the required triangle.

Answer 2

Answer:

2√117

Step-by-step explanation:

hypotenuse=√( base² +perp²)

=√(18²+12²)

=√(324+144)

=√468

=2√117