The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle has a longer leg measuring 48 units, smaller leg measuring 20 units, and a hypotenuse measuring 52 units. the smaller triangle has a longer leg measuring 12 units, smaller leg measuring 5 units, and x on the hypotenuse.

Question

Mathematics

Valentino Osborne

24 February, 20:46

The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle has a longer leg measuring 48 units, smaller leg measuring 20 units, and a hypotenuse measuring 52 units. the smaller triangle has a longer leg measuring 12 units, smaller leg measuring 5 units, and x on the hypotenuse.

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Answers (1)

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Emilie Bowen · Answer 1

Since the triangles are right triangles, the hypotenuse can be calculated using the Pythagorean theorem:

5²+12²=x²

x²=25+144, x²=169⇒x=√169

x=13

The hypotenuse of a smaller triangle is 13 units.