Question

The area of a right angled triangle is 45cm2. What is the length of the base if the height is 8cm?

Answer 1

Answer:

To calculate the length of a side on a right-angled triangle when you know the sizes of the other two, you need to use Pythagoras' Theorem. Pythagoras' Theorem says that, in a right angled triangle: The square of the hypotenuse is equal to the sum of the squares on the

two sides.

Geometry

To calculate the length of a side on a right-angled triangle when you know the sizes of the other two, you need to use Pythagoras' Theorem.

Pythagoras' Theorem says that, in a right angled triangle:

The square of the hypotenuse is equal to the sum of the squares on the other two sides.

Pythagoras diagram showing right angled triangle with values a, b and c and squares a≤, b≤ and c≤

We can write this more simply as :

{a^2} = {b^2} + {c^2}

Diagram of right angled triangle with a, b and c dimensions and the formula a² = b² + c²

Calculating the length of the hypotenuse

Question

Use Pythagoras' Theorem to calculate the length of the hypotenuse. Give your answer to 2 decimal places.

rectangle 4 x 7 x X

Hide answer

Write the equation x^{2} = 7^{2} + 4^{2}

Square the lengths you know x^{2} = 49 + 16

Add together x^{2} = 65

Find the square root x = \sqrt {65}

x = 8.06 (to\,2\,d.p.)

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