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Step-4

Title: Triangles

Grade: 8-a Lesson: S2-L5

Explanation: Let us verify the answer here with the steps.

Description:

Explanation	Answer
Problem	Find x so that the triangle shown in the image is a right angled triangle.
Formula used	\$("hypotenuse")^2 = ("side")^2 + ("side")^2\$
Step - 1	From the image, Hypotenuse = 17, opposite side = 8x, adjacent side = 15x
Step - 2	Use Pythagora’s theorem, \$(17)^2 = (8x)^2 + (15x)^2\$ \$289 = 64x^2 + 225x^2\$ \$\cancel(289)^1 = \cancel(289)^1 \times x^2\$ \$x^2 = 1\$ \$x = 1\$
Step - 3	Hence, the value of x is 1

Explanation

Answer

Problem

Find x so that the triangle shown in the image is a right angled triangle.

Formula used

\$("hypotenuse")^2 = ("side")^2 + ("side")^2\$

Step - 1

From the image,
Hypotenuse = 17,
opposite side = 8x,
adjacent side = 15x

Step - 2

Use Pythagora’s theorem,

\$(17)^2 = (8x)^2 + (15x)^2\$

\$289 = 64x^2 + 225x^2\$

\$\cancel(289)^1 = \cancel(289)^1 \times x^2\$

\$x^2 = 1\$

\$x = 1\$

Step - 3

Hence, the value of x is 1