The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.

Question

Gisselle Watts

Mathematics

16 February, 11:51

The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.

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Answers (1)

Know the Answer?

Yasmin Fletcher · Answer 1

24

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse. As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10. 6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2. So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh) / 2. 6*8=48 and 48/2 = 24 which gives us our answer.