Question

pls tell the answer with steps​

Answer 1

Answer:

Given

Base ⇒ x

Height ⇒ 3 metres

Hypotenuse ⇒ 5 metres

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To Find

The value of the base.

\rule{300}{1}

Solution

To find the value of the base we must apply the Pythagorean Theorem. This theorem is only used in right angled triangles and the hypotenuse is known to be the largest side.

The formula for Pythagorean theorem is mentioned below. Using this theorem we will proceed with our question.

Pythagorean Theorem ⇒ Base² + Height² = Hypotenuse²

⇒ 3² + x² = 5²

⇒ (3 × 3) + x² = (5 × 5)

⇒ 9 + x² = 25

⇒ 9 + x² - 9 = 25 - 9

⇒ x² = 16

⇒ x = √16

⇒ x = 4

∴ The value of the base is 4 metres

Answer 2

Answer:

4 m

Step-by-step explanation:

Lengths of rod = 5m

Distance between the foot of rod and wall = 3m

So I this case the rod is the hypotenuse of a right triangle where the base is 3m wide .

And we need to find how high the top of the iron rod reaches the wall ....

By Pythagoras theorem ,

(Length of rod)² = (Distance between the foot of rod and wall)² + (Height between top of rod and ground)²

(5)² = (3)² + (Height between top of rod and ground)²

25 = 9 + (Height between top of rod and ground)²

16 = (Height between top of rod and ground)²

Height between top of rod and ground = 4 m