Mathematics
Grade9
Easy

Question

The hypotenuse of a right triangle is 37 cm long. If one of the remaining two sides is 12 cm in length, then the length of the other side is

  1. 31 cm
  2. 35 cm
  3. 38 cm
  4. 30 cm

hintHint:

Recall the formula of right angled triangle and use it to obtain the answer.

The correct answer is: 35 cm


    G i v e n comma
H y p o t e n u s e space equals space c space equals space 37 space c m
O n e space s i d e space o f space t h e space t r i a n g l e space equals space a space equals space 12 space c m

T o space f i n d comma
T h e space o t h e r space s i d e space o f space t h e space t r i a n g l e space equals space b

W e space k n o w space t h a t space f o r space a space r i g h t minus a n g l e d space t r i a n g l e comma
a squared space plus space b squared space equals space c squared

A p p l y i n g space t h i s space f o r m u l a comma
open parentheses 12 close parentheses squared space plus space b squared space equals space open parentheses 37 close parentheses squared
144 space plus space b squared space equals space 1369
b squared space equals space 1369 space minus space 144
b squared space equals space 1225
therefore space b space equals space 35

H e n c e comma space t h e space l e n g t h space o f space t h e space o t h e r space s i d e space o f space t h e space t r i a n g l e space i s space 35 space c m.

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