Advertisements
Advertisements
Question
Use the information given in the figure to find the length AD.

Advertisements
Solution
Given:
AB = 20 cm
∴ AO = `"AB"=20/2` = 10cm
BC = OD = 24 cm
To find: Length of AD
In right angled triangle
AOD (AD)2 = (AO)2 + (OD)2
(AD)2 = (10)2 + (24)2
(AD)2 = 100 + 576
(AD)2 = 676
∴ AD = `sqrt(26xx26)`
AD = 26 cm
APPEARS IN
RELATED QUESTIONS
A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AD2 = BD × CD

In the given figure, ABC is a triangle in which ∠ABC < 90° and AD ⊥ BC. Prove that AC2 = AB2 + BC2 − 2BC.BD.

Pranali and Prasad started walking to the East and to the North respectively, from the same point and at the same speed. After 2 hours distance between them was \[15\sqrt{2}\]
km. Find their speed per hour.
In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.
In the following figure, AD is perpendicular to BC and D divides BC in the ratio 1: 3.
Prove that : 2AC2 = 2AB2 + BC2
If P and Q are the points on side CA and CB respectively of ΔABC, right angled at C, prove that (AQ2 + BP2) = (AB2 + PQ2)
In Fig. 3, ∠ACB = 90° and CD ⊥ AB, prove that CD2 = BD x AD.

The sides of the triangle are given below. Find out which one is the right-angled triangle?
11, 60, 61
From the given figure, in ∆ABQ, if AQ = 8 cm, then AB =?

