Question

Find the area of a right angled triangle with hypotenuse 25cm and altitude 24cm. ​

Answer 1

Answer:

84 cm square

Step-by-step explanation:

Answer 2

Answer:

Area of the right triangle is 84 cm².

Step-by-step explanation:

Given that, the hypotenuse of the right angled triangle is 25 cm and altitude is 24 cm.

Let,

• Base of the right triangle = x cm.

Now find the base by using Pythagoras Theorem.

Base² + Altitude ² = Hypotenuse ²

→ x² + 24² = 25²

→ x² = 25² - 24²

→ x² = 625 - 576

→ x² = 49

→ x = 7

Now find the area of the right triangle.

Formula used :

${\boxed{\sf{Area\:of\: triangle=\dfrac{1}{2}\times\:base\times\: altitude}}}$

Area of the triangle,

= ½ × 7 × 24 cm²

= 7×12 cm²

= 84 cm²

★ Area of the right triangle is 84 cm².