Question

in a right triangle the length of the base is 4cm and height is 3cm the length of the hypotenuse will be​

Answer 1

Answer:

5 cm

Step-by-step explanation:

According to Pythagoras theorem

P² + B² = H²

3² + 4² = 9 + 16 = 25

√25 = 5

Answer 2

Answer :-

• Hypotenuse of Triangle (AC) = 5 cm

Given :-

• Height of Triangle (AB) = 3 cm

• Base of Triangle (BC) = 4 cm

To Find :-

• The Hypotenuse of Triangle = ?

Explanation :-

In the above question, we have given the base and the Height of Right angle triangle.

To Find the Hypotenuse of Triangle we will use Pythagoras Theorem

$\blue { \boxed { \bf \bigstar \: Pythagoras \: Theorem = AB^2 + BC^2 = CA^2 \: \bigstar }}$

$\rm : \: \implies AB^2 +BC^2 = CA^2$

$\rm : \: \implies (4)^2 + (3)^2 = CA^2$

$\rm : \: \implies 16 + 9 = CA^2$

$\rm : \: \implies 25 = CA^2$

$\rm : \: \implies CA = \sqrt{25}$

$\red { \underline { \boxed { \bf : \: \implies CA = 5 \: cm }}}$

Hence, the Hypotenuse of the Triangle is 5 cm.