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13.03 Finding a short side

Worksheet
Shorter sides
1

Find the length of the unknown side in each of the following right-angled triangles:

a
b
c
d
e
f
g
2

Find the exact value of the pronumeral in the following triangles:

a
b
3

Find the value of the pronumeral in the following triangles, correct to two decimal places:

a
b
4

Calculate the length of the unknown side s, to two decimal places, of a right-angled triangle which has:

a

A hypotenuse of length 6 and another side of length 5.

b

A hypotenuse of length 18 and another side of length 13.

c

A hypotenuse of length 7 and another side of length 4.

d

A hypotenuse of length 23 and another side of length 15.

Applications
5

The two largest numbers in a Pythagorean triad are 10 and 8. Find the number that completes the triad.

6

The largest and smallest numbers in a Pythagorean triad are 17 and 8. Find the number that completes the triad.

7

The two short sides of a triangle have lengths of 10 and 17. The perpendicular height of the triangle is 8:

a

Skye notices that she can divide the triangle into two smaller right-angled triangles, each with a height of 8. What are the base lengths of these right-angled triangles?

b

Find the base length of the original triangle.

8

Find the base length of the following triangles:

a
b
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Outcomes

MA4-16MG

applies Pythagoras' theorem to calculate side lengths in right-angled triangles, and solves related problems

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