A right triangle has its two legs as consecutive even integers.
The hypotenuse is 10 cm.
Find the smaller leg (in cm).

Question

A right triangle has its two legs as consecutive even integers. The hypotenuse is 10 cm. Find the smaller leg (in cm).

Accepted Answer

6. Let legs be 2n and 2n+2. (2n)^2 + (2n+2)^2 = 100. 4n^2 + 4n^2 + 8n + 4 = 100. 8n^2 + 8n - 96 = 0, n^2 + n - 12 = 0, (n+4)(n-3)=0, n=3. Smaller leg = 2n = 6 cm (legs 6 and 8).

A right triangle has its two legs as consecutive even integers.
The hypotenuse is 10 cm.
Find the smaller leg (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Pythagoras Theorem practice

A right triangle has its two legs as consecutive even integers.The hypotenuse is 10 cm.Find the smaller leg (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Pythagoras Theorem practice

A right triangle has its two legs as consecutive even integers.
The hypotenuse is 10 cm.
Find the smaller leg (in cm).