the base of a right triangle is 48 cm and its hypotenuse is 50 cm long. the area of the triangle is?
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Answered by
155
Hello here is your answer by Sujeet yaduvanshi ☝☝☝☝☝☝☝☝☝☝☝☝☝☝
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Question:-the base of a right triangle is 48 cm and its hypotenuse is 50 cm long. the area of the triangle is?
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Solution:-)
GIVEN THAT - Base of Right∆ =48
Also given- Hypotenuse of Right∆=50
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Hypotenuse² =Base² + Height²
(50)² = (48)² + Height²
2500 - 2304 = Height²
196 = Height²
14cm = Height
48cm = Base
50cm = Height
Area of a triangle = 1/2 bh
1/2 * 48 * 14
= 336cm²
_________________
@Sujeet
__________________________
Question:-the base of a right triangle is 48 cm and its hypotenuse is 50 cm long. the area of the triangle is?
_________________________________
Solution:-)
GIVEN THAT - Base of Right∆ =48
Also given- Hypotenuse of Right∆=50
_______________________________
Hypotenuse² =Base² + Height²
(50)² = (48)² + Height²
2500 - 2304 = Height²
196 = Height²
14cm = Height
48cm = Base
50cm = Height
Area of a triangle = 1/2 bh
1/2 * 48 * 14
= 336cm²
_________________
@Sujeet
Answered by
54
given the base of the right angle triangle = 48cm and it's hypotenuse is = 50cm
let the sides of the right angle triangle be a, b and c where a is base, b is height and c is hypotenuse.
by Pythagoras theorem :-
>> a² + b² = c²
>> 48² + b² = 50²
>> 2304 + b² = 2500
>> b² = 2500 - 2304
>> b² = 196
>> b = √196
>> b = 14cm
hence, the height of the right angle triangle is 14cm.
formula for finding the area of. right angle triangle is 1/2 × base × height.
therefore area of the right angle triangle = 1/2 × 48 × 14
= 24 × 14
= 336cm²
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