Question

Find the third side if height of right triangle is 8cm and base is 15 cm.

Answer 1

Answer:

17

Step-by-step explanation:

= ( Hypo )2 = ( Height )2 + ( Base )2

= ( 8 )2 + ( 15 )2

= 64 + 225

= √ 289

Hypo = 17

Answer 2

To find : third side of triangle

Given :  height of right triangle is 8cm and base is 15 cm.

Solution :  

• As per given data we know that  height of right triangle is 8cm and base is 15 cm.
• Let , ABC be the right angled  triangle . Where , BC be the base and AB be the height of triangle and AC be the hypotenuse .  

       i.e. AB = $8\ cm$ and  BC $= 15\ cm$  

• To find third side of triangle we use pythagoras theorem  .  

• $AC^{2}= AB^{2}+ BC^{2}$

       $AC^{2} =(8)^{2} +(15)^{2} \\AC^{2} = 64 + 225\\AC^{2} =289 \\AC = 17$

Hence ,  third side of triangle is $17 \ cm$ .