Question

23.In a right-angled triangle, the
lengths of two legs are 6cm and
8cm. The length of the
hypotenuse is​

Answer 1

Answer:

10 cm

Step-by-step explanation:

In a right angled triangle:b²=a²+c²

X²=8²+6²

X²=64+36

=100

X²=10²

X=10

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Answer 2

Answer :-

• Hypotenuse of the triangle is 10cm.

Given :-

• In a right angled triangle, the lengths of two legs are 6cm and 8cm.

To Find :-

• Length of the hypotenuse.

Solution :-

Let ABC be the right triangle in which

• AB = 6m (perpendicular)
• BC = 8cm (base)

As we know that

• H² = P² + B²

Here

• P = 6
• B = 8
• H = ?

We've to find hypotenuse of the triangle.

Put the values in the formula

According to question :-

⇒ H² = P² + B²

⇒ H² = (6)² + (8)²

⇒ H² = 36 + 64

⇒ H² = 100

⇒ H = √100

⇒ H = 10cm

Hence, the hypotenuse is 10cm.