Question

the legs of a right triangle measure 7 units and 24 units. what is the measure of the hypotenuse? round to the nearest tenth is necessary

Answer 1

The measure of the hypotenuse is 25.0 units

Step-by-step explanation:

Let us revise how to find the length of the hypotenuse in a right Δ

• If the two legs of a right triangle are x and y
• If the hypotenuse is z
• According to Pythagoras Theorem $z=\sqrt{x^{2}+y^{2}}$

∵ The legs of a right triangle measure 7 units and 24 units

∴ x = 7 units and y = 24 units

∵ $z=\sqrt{x^{2}+y^{2}}$

- Substitute the values of x and y in the rule to find z

∵ $z=\sqrt{(7)^{2}+(24)^{2}}$

∴ $z=\sqrt{49+576}$

∴ $z=\sqrt{625}$

∴ z = 25 units

∵ z is the hypotenuse

∴ The measure of the hypotenuse = 25 units

The measure of the hypotenuse is 25.0 units

Learn more:

You can learn more about the right triangle in brainly.com/question/11236033

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