Question

please solve this question..........................................

Answer 1

Hey dear!!
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Length of the hypotenuse of the triangle = 10cm 
Length of the base of the triangle = 6cm 

The pythagoras theorem states that the square on the hypotenuse is equal to the sum of the squares of the base and height in a right-angled triangle. 

So let the unknown length of the base be x. 

(10)² = (6)² + (x)²

So, in order to get the length of the height, we need to subtract the square on the base from the square on the hypotenuse. 

Hence, 

(x)² = (10)² - (6)²
(x)² = 100 - 36 
(x)² = 64 
x = (64)² 
x = 8 cm 

∴ The length of the height of the triangle is 8cm.

∴Area of the triangle = 1/2 × b × h 
= 1/2 × 6 × 8 
= 24 cm² 

∴The area of the triangle is 24 cm². 

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Hope helped!!

Answer 2

Hey friend,
To find out the area of the triangle,
First we have to find out the height of the triangle,
Since given triangle is a right triangle,
So,
H^2 = P^2 + B^2
(10)^2 = P^2 + (6)^2
100 = P^2 + 36
100 - 36 = P^2
64 = P^2
√64 = P
P = 8 cm
Area = 1/2 × b × h
A = 1/2 × 6 × 8
A = 24cm^2
HOPE MY ANSWER WOULD BE HELPFUL TO YOU!!!!☺☺