Q. Find the unknown length x in the following figures (Fig \small 6.29):

    
 

Answers (1)

As we know in a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

So, using this theorem,

i) 

x^2=3^2+4^2

x^2=9+16

x^2=25

x=5.

ii)

x^2=6^2+8^2

x^2=36+64

x^2=100

x=10

iii)

x^2=15^2+8^2

x^2=225+64

x^2=289

x=17

iv)

x^2=24^2+7^2

x^2=576+49

x^2=625

x=25

v) in this question as we can see from the figure, it is making the right angle with the half-length of x, so

\left ( \frac{x}{2} \right )^2+12^2=37^2

\frac{x^2}{4} +12^2=37^2

\frac{x^2}{4} =37^2-12^2

.\frac{x^2}{4} =1369-144

\frac{x^2}{4} =1225

x^2=4\times 1225

x=2\times35

x=70.

vi)

x^2=12^2+5^2

x^2=144+25

x^2=169

x=13

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions