Advertisements
Advertisements
Question
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
Advertisements
Solution
Given: ∆ ABC right angled at A and AB = 18 cm, AC = 24 cm.

To find: Length of BC.
According to Pythagoras Theorem,
BC2 = AB2 + AC2
= 182 + 242 = 324 + 576 = 900
∴ BC =`sqrt900=sqrt(30xx30)` = 30 cm
APPEARS IN
RELATED QUESTIONS
A man goes 10 m due east and then 24 m due north. Find the distance from the starting point
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD

Prove that the points A(0, −1), B(−2, 3), C(6, 7) and D(8, 3) are the vertices of a rectangle ABCD?
Find the side and perimeter of a square whose diagonal is 10 cm.
Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
In ΔABC, Find the sides of the triangle, if:
- AB = ( x - 3 ) cm, BC = ( x + 4 ) cm and AC = ( x + 6 ) cm
- AB = x cm, BC = ( 4x + 4 ) cm and AC = ( 4x + 5) cm
In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.

In the given figure, AD = 13 cm, BC = 12 cm, AB = 3 cm and angle ACD = angle ABC = 90°. Find the length of DC.

In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 - AB2 = 2BC x ED
Find the length of the support cable required to support the tower with the floor
